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Splash Screen. Lesson 7-1 Percent of a Number Lesson 7-2 The Percent Proportion Lesson 7-3 Percent and Estimation Lesson 7-4 Algebra: The Percent Equation Lesson 7-5 Problem-Solving Investigation: Determine Reasonable Answers Lesson 7-6 Percent of Change

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Presentation Transcript
Lesson 7-1Percent of a Number

Lesson 7-2 The Percent Proportion

Lesson 7-3 Percent and Estimation

Lesson 7-4 Algebra: The Percent Equation

Lesson 7-5 Problem-Solving Investigation: Determine Reasonable Answers

Lesson 7-6 Percent of Change

Lesson 7-7 Sales Tax and Discount

Lesson 7-8 Simple Interest

P. 346 – 3489-27 ODD

• In a survey, 54 out of 100 people responded “Yes.”  What percent responded “Yes?”
• 100 students were tested, and 36 got A.  What percentgot A?
• Jackie had \$100 and spent \$12.50 for lunch? What percent of her \$100 did she spend for lunch?

Find the Percent of a Number

Find 8% of 125.

Method 1 Write the percent as a fraction.

Lesson 1 Ex1

Find the Percent of a Number

Method 2 Write the percent as a decimal.

So, 8% of 125 is 10.

Interactive Lab:Percent of a Number

Lesson 1 Ex1

5% =

=

·

=

= 15

of 300 =

100

20

20

20

20

1

5% = 0.05

300

300

5

1

1

1

·

0.05

300 = 15

What is 5 percent of 300?

25% =

=

·

=

= 24

of 96 =

100

4

1

4

4

4

25% = 0.25

96

96

25

1

1

1

·

0.25

96 = 24

Find 25% of 96.

120% =

=

·

=

= 90

of 75 =

100

1

5

5

5

5

120% = 1.2

75

120

450

6

6

6

·

1.2

75 = 90

Find 120% of 75.

8.9% =

·

=

= 6.675

of 75 =

100

1

100

100

100

8.9% = 0.089

75

8.9

8.9

8.9

667.5

·

0.089

75 = 6.675

Find 8.9% of 75.

97.5% =

·

=

= 78

of 80 =

100

100

100

100

1

97.5% = 0.975

97.5

97.5

97.5

80

7800

·

0.975

80 = 78

Find 97.5% of 80.

60% =

=

·

= 30000

=

of 5000 =

100

1

5

5

5

5

60% = 0.6

60

15000

5000

3

3

3

·

0.6

5000 = 3000

20% =

=

·

=

= 13

of 65 =

100

1

5

5

5

5

20% = 0.2

20

65

65

1

1

1

·

0.2

65 = 13

Mr. Redding sells cars to 20% of the people who come to his showroom. If 65 people came to his showroom, how many vehicles did he sell?

Part

=

Whole

=

·

·

n

55

22

100

=

2200

55n

=

100

55

55n

2200

55

55

22

n

=

n

40%

El Rodeo School’s Chess Club has 55 members. 22 are in 7th grade. What percent are in 7th grade?

Part

=

Whole

=

·

·

100

15

n

75

=

75n

1500

=

100

n

1500

75n

75

75

15

75

=

20

n

In the city of Los Angeles, 75% of the parks have tennis courts. If 15 parks have tennis courts, how many parks does Los Angeles have?

Part

=

Whole

=

·

·

n

100

23.40

15

=

351

100n

=

23.40

100

351

100n

100

100

15

n

=

n

\$3.51

Linda’s bill at the restaurant is \$23.40. She plans to tip the waiter 15%. How much should she leave?

Find 72% of 350.

• A
• B
• C
• D

A. 116

B. 252

C. 308

D. 335

Lesson 1 CYP1

Use Percents Greater Than 100%

Find 125% of 64.

Method 1 Write the percent as a fraction.

Lesson 1 Ex2

Use Percents Greater Than 100%

Method 2 Write the percent as a decimal.

So, 125% of 64 is 80.

Lesson 1 Ex2

Find 225% of 50.

• A
• B
• C
• D

A. 225

B. 175

C. 112.5

D. 78.5

Lesson 1 CYP2

LANGUAGESThe graph below shows that 30% of the people in a community speak Spanish as their first language. If a community has 800 people, how many people can be expected to speak Spanish as their first language?

Lesson 1 Ex3

30% of 800 = 30% ● 800

= 0.30 ● 800

= 240

So, 240 people can be expected to speak Spanish as their first language.

Lesson 1 Ex3

SLEEP The average person sleeps 33% of their adult life. If their adult life consists of 62 years, how many years does the average person spend sleeping?

• A
• B
• C
• D

A. 41.54

B. 33

C. 21.8

D. 20.46

Lesson 1 CYP3

Five-Minute Check (over Lesson 7-1)

Main Idea and Vocabulary

California Standards

Example 1: Find the Percent

Example 2: Find the Part

Example 3: Find the Whole

Example 4: Use Percent to Solve a Problem

Concept Summary: Types of Percent Problems

Proportion

Find the Percent

What percent of 24 is 18?

The number 24 comes after the word of, so the whole is 24. You are asked to find the percent, so the part is the remaining number, 18.

Words What percent of 24 is 18?

Variable Let nrepresent the percent.

Lesson 2 Ex1

Find the Percent

Write the proportion.

Find the cross products.

Simplify.

Divide each side by 24.

Simplify.

Answer: 75% of 24 is 18.

Lesson 2 Ex1

Part

=

Whole

=

·

·

n

15

9

100

=

900

15n

=

100

15

900

15n

15

15

9

n

=

n

60

What percent of 15 is 9?

Proportion

Find the Part

What number is 30% of 150?

The percent is 30%. Since the number 150 comes after the word of, the whole is 150. You are asked to find the part.

Words What number is 30% of 150?

Variable Let p represent the part.

Lesson 2 Ex2

Find the Part

Write the proportion.

Find the cross products.

Simplify.

Divide each side by 100.

Simplify.

Answer: 30% of 150 is 45.

Lesson 2 Ex2

Part

=

Whole

·

·

=

40

120

n

100

=

100n

4,800

100

120

100n

4,800

=

100

100

40

n

=

48

n

What number is 40% of 120?

Proportion

Find the Whole

12 is 80% of what number?

The percent is 80%. The words what number come after the word of. So, you are asked to find the whole. Thus, 12 is the part.

Words 12 is 80% of what number?

Variable Let w represent the whole.

Lesson 2 Ex3

Find the Whole

Write the proportion.

Find the cross products.

Simplify.

Divide each side by 80.

Simplify.

Answer: 12 is 80% of 15.

Lesson 2 Ex3

Part

=

Whole

·

·

=

n

50

19

100

=

1900

50n

100

n

1900

50n

=

50

50

19

50

=

n

38

19 is 50% of what number?

Part

=

Whole

=

·

·

n

50

20

100

=

2000

50n

100

50

=

2000

50n

50

50

20

n

=

n

40

What percent of 50 is 20?

Part

=

Whole

=

·

·

n

220

100

95.3

=

95.3n

22000

100

n

=

95.3n

22000

95.3

95.3

220

95.3

n

230.8

220 is 95.3% of what number?

Part

=

Whole

=

·

·

25

20

n

100

=

100n

500

100

20

100n

500

=

100

100

25

n

=

5

n

What number is 25% of 20?

Part

=

Whole

·

·

=

n

22

24.2

100

=

2420

22n

100

n

=

2420

22n

22

22

24.2

22

=

n

110

22% of what number is 24.2?

What percent of 80 is 28?

• A
• B
• C
• D

A. 28%

B. 35%

C. 56%

D. 80%

Lesson 2 CYP1

What number is 65% of 180?

• A
• B
• C
• D

A. 65

B. 115

C. 117

D. 245

Lesson 2 CYP2

36 is 40% of what number?

• A
• B
• C
• D

A. 14.4

B. 76

C. 90

D. 102.6

Lesson 2 CYP3

BREAKFASTSally read the nutrition facts on a box of her favorite cereal. Each cup of the cereal provides 7% of the recommended daily value of potassium. If a cup of cereal contains 260 milligrams of potassium, what is the recommended daily value of potassium?

You know that 260 milligrams is 7% of the recommended daily value. So, the problem asks 260 is 7% of what number? Thus, you need to find the whole.

Lesson 2 Ex4

Write the proportion.

Find the cross products.

Simplify.

Divide each side by 7.

So, the recommended daily value of potassium is 3,714 mg.

Lesson 2 Ex4

FUND RAISER The students at Greenview Middle School have raised \$250 so far in their annual fund raiser. This amount represents 5% of their goal. What is the fund raising goal for the students at Greenview Middle School?

• A
• B
• C
• D

A. \$500

B. \$1,250

C. \$3,500

D. \$5,000

Lesson 2 CYP4

Five-Minute Check (over Lesson 7-2)

Main Idea

California Standards

Example 1: Use Percents to Estimate

Example 2: Use Percents to Estimate

Example 3: Percents Greater Than 100 or Less Than 1

Example 4: Percents Greater Than 100 or Less Than 1

Example 5: Estimate Percent to Solve a Problem

Standard 6NS1.4 Calculate given percentages of quantities and solve problems involvingdiscounts at sales, interest earned, and tips.

Lesson 3 CA

CONCERTSA town sold 407 tickets to a chamber music concert in the town square. Of the tickets sold, 61% were discounted for senior citizens. About how many senior citizens bought tickets for the concert?

You need to estimate 61% of 407.

HW: P. 358 – 360

11-31 ODD;

51- 69 ODD

Lesson 3 Ex1

TAXES Michelle’s pay check was \$590 and 27% was deducted for taxes. How much was deducted?

• A
• B
• C
• D

Lesson 3 CYP1

COINSMelinda calculated that 40% of the coins in her coin collection were minted before 1964. If there are 715 coins in her collection, about how many of them were minted before 1964?

You need to estimate 40% of 715.

Method 1 Use a fraction to estimate.

Round 715 to 700.

Multiply.

Lesson 3 Ex2

Method 2 Use 10% of a number to estimate.

Step 1 Find 10% of the number.

10% of 700 = 0.1 ● 700

= 70

Step 2 Multiply.

40% of 700 is 4 times 10% of 700.

4 ● 70 = 280

Lesson 3 Ex2

SAVINGS Suki saves 70% of her monthly allowance. If her monthly allowance is \$58, about how much does she save?

• A
• B
• C
• D

Lesson 3 CYP2

175% of 60

Percents Greater Than 100 or Less Than 1

Estimate 173% of 60.

Lesson 3 Ex3

Estimate 142% of 80.

• A
• B
• C
• D

Lesson 3 CYP3

Percents Greater Than 100 or Less Than 1

1% of 900 = 0.01 ● 900 Write 1% as 0.01.

= 9

Lesson 3 Ex4
A
• B
• C
• D

Lesson 3 CYP4

GAME ATTENDANCELast season 96,081 people were in attendance at a college football game. About 0.25% of those were reporters from newspapers and television and radio stations. About how many reporters were at the game?

0.25% is one quarter of 1%.

1% of 96,000 = 0.01 ● 96,000 96,081 is about 96,000.

= 960

Lesson 3 Ex5

CONCERT The attendance at a popular outdoor concert was recorded as 6,973. Of those attending, 0.5% were security personnel. About how many security people were present?

• A
• B
• C
• D

Lesson 3 CYP5

Five-Minute Check (over Lesson 7-3)

Main Idea and Vocabulary

California Standards

Example 1: Find the Part

Example 2: Find the Percent

Example 3: Find the Whole

Example 4: Apply the Percent Equation

Concept Summary: Types of Percent Problems

Standard 6NS1.4 Calculate given percentages of quantities and solve problems involvingdiscounts at sales, interest earned, and tips.

Standard 6AF1.1 Write and solve one-step linear equations in one variable.

Lesson 4 CA

p = 0.46 ● 200 Write an equation.

Find the Part

What number is 46% of 200?

Estimate 0.5 ● 200 = 100

46% or 0.46 is the percent and 200 is the whole.

Let p represent the part.

part = percent ● whole

p = 92 Multiply. The part is 92.

Answer: 46% of 200 is 92.

Lesson 4 Ex1

What number is 72% of 500?

• A
• B
• C
• D

A. 72

B. 122

C. 360

D. 720

Lesson 4 CYP1

Find the Percent

26 is what percent of 32?

Lesson 4 Ex2

Find the Percent

Let n represent the percent.

Write an equation.

Divide each side by 32.

Simplify.

Write 0.8125 as a percent.

Answer: 26 is 81.25% of 32.

Lesson 4 Ex2

18 is what percent of 80?

• A
• B
• C
• D

A. 18%

B. 22.5%

C. 57.5%

D. 62%

Lesson 4 CYP2

Find the Whole

12 is 40% of what number?

Let w represent the whole.

Write an equation.

Divide each side by 0.40.

The whole is 30.

Answer: 12 is 40% of 30.

Lesson 4 Ex3

36 is 90% of what number?

• A
• B
• C
• D

A. 32.4

B. 36

C. 40

D. 54

Lesson 4 CYP3

TELEVISIONSIn the year 2000, 102.2 million homes in the United States had at least one television. Of these, 86% also had VCRs. How many homes had VCRs?

Words 86% of 102,200,000 is what number?

Variable Let n represent the number of homes.

Equationn = 0.86 ● 102,200,000

Lesson 4 Ex4

n = 0.86 ● 102,200,000 Write an equation.

= 87,892,000 Multiply. Use a calculator.

Lesson 4 Ex4

COLLEGE A local college has an enrollment of 25,700 students. Of these students, 22% are from out of state. How many of the students are from out of state?

• A
• B
• C
• D

A. 220

B. 2,200

C. 5,654

D. 20,046

Lesson 4 CYP4

Five-Minute Check (over Lesson 7-4)

Main Idea

California Standards

Standard 6NS1.4 Calculate given percentages of quantities and solve problems involvingdiscounts at sales, interest earned, and tips.

Standard 6MR3.1 Evaluate the reasonableness of the solution in the context of the problem.

Lesson 5 CA

FUND RAISERA soccer team is having a candy sale to raise funds to buy new shirts. The team gets to keep 25% of the sales. Each candy bar costs \$1.50, and the team has sold 510 bars so far. If the shirts cost a total of \$175, should the team order the shirts yet? Explain.

Explore You know the shirts cost a total of \$175 and that each candy bar costs \$1.50. You know that the team has sold 510 bars so far and that they get to keep 25% of the sales. You need to know if the team has enough money to order the shirts yet.

Plan Find how much the team has earned so far. Then find 25% of their sales.

Lesson 5 Ex1

×

0.25 765

ENTER

Solve \$1.50 ● 510 = \$765

Find 25% of \$765.

25% of 765 = 0.25 ● 765

= 191.25

The team gets to keep \$191.25. Since this is more than the cost of the shirts, they should order the shirts.

Check Use a calculator to check.

The result is 191.25, so the answer is reasonable.

Answer: Yes, they have earned more than \$175.

Lesson 5 Ex1

FIELD TRIP There are 392 students in the seventh grade at Hamilton Middle School. If 35% of the seventh grade will attend the class field trip, is it reasonable to say that about 170 students will attend the field trip?

• A
• B
• C
• D

A. yes

B. no

C. sometimes

D. not enough information

Lesson 5 CYP1

Five-Minute Check (over Lesson 7-5)

Main Idea and Vocabulary

California Standards

Key Concept: Percent of Change

Example 1: Find Percent of Increase

Example 2: Find Percent of Decrease

Example 3: Solve a Problem Using Percent of Change

Find the percent of increase or decrease.

• percent of change
• percent of increase
• percent of decrease
Lesson 6 MI/Vocab

Standard 6NS1.2 Interpret and use ratios in different contexts(e.g., batting averages, miles per hour) to show the relative sizes of two quantities,

using appropriate notations

Lesson 6 CA

Find Percent of Increase

SHOPPINGLast year a sweater sold for \$56. This year the same sweater sells for \$60. Find the percent of change in the cost of the sweater. Round to the nearest whole percent if necessary.

Since the new price is greater than the original price, this is a percent of increase. The amount of increase is 60 – 56 or \$4.

Lesson 6 Ex1

Find Percent of Increase

Substitution

Simplify.

Write 0.07 as a percent.

Answer: The percent of increase in the price of the sweater is about 7%.

Lesson 6 Ex1

DVDS Last year a DVD sold for \$20. This year the same DVD sells for \$24. Find the percent of change in the cost of the DVD. Round to the nearest whole percent if necessary.

• A
• B
• C
• D

A. 4% increase

B. 17% increase

C. 20% increase

D. 24% increase

Lesson 6 CYP1

Find Percent of Decrease

ATTENDANCEOn the first day of school this year, 435 students reported to Howard Middle School. Last year on the first day, 460 students attended. Find the percent of change for the first day’s attendance. Round to the nearest whole percent if necessary.

Since the new enrollment figure is less than the figure for last year, this is a percent of decrease. The amount of decrease is 460 – 435 or 25 students.

Lesson 6 Ex2

Find Percent of Decrease

Substitution

Simplify.

Write 0.05 as a percent.

Lesson 6 Ex2

ZOO At the beginning of the summer season, the local zoo reported having 385 animals in its care. At the beginning of last year’s summer season, the zoo had reported 400 animals. Find the percent of change in the number of animals at the zoo. Round to the nearest whole percent if necessary.

• A
• B
• C
• D

Lesson 6 CYP2

The table shows the annual city budget of Layton for four years. Which statement is supportedby the table?

A The budget decreased and then increased.

B The greatest budget increase occurred from 2003 to 2004.

C The budget increased 15% from 2002 to 2005.

D The budget decreased about 3% from 2004 to 2005.

Lesson 6 Ex3

You need to determine which statement is best supported by the information given in the table.

Solve the Item

Check A The budget increased and then decreased. This option is not correct.

Check B The greatest budget increase occurred from 2002 to 2003, not from 2003 to 2004. This option is not correct.

Lesson 6 Ex3

Check C From 2002 to 2005, the budget increased or about 10%. This option is not correct.

Check D The percent of decrease from 2004 to 2005 was or about 3%. This option is correct.

Lesson 6 Ex3

The table shows the annual sales figures for a popular retail store for the past four years. Which statement is supported by the table?

• A
• B
• C
• D

A. The sales figures increased 1% from 2003 to 2004.

B. The largest increase in annual sales occurred from 2003 to 2004.

C. The sales figures decreased about 33% from 2004 to 2005.

D. The sales figures decreased and then increased.

Lesson 6 CYP3

Five-Minute Check (over Lesson 7-6)

Main Idea and Vocabulary

California Standards

Example 1: Find the Total Cost

Example 2: Find the Sale Price

Example 3: Find the Original Price

Standard 6NS1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.

Lesson 7 CA

Find the Total Cost

GOLFA set of golf balls sells for \$20, and the sales tax is 5.75%. What is the total cost of the set?

Method 1 Add sales tax to the regular price.

First, find the sales tax.

5.75% of \$20 = 0.0575 ● 20 Write 5.75% as a decimal.

= 1.15 The sales tax is \$1.15.

Next, add the sales tax to the regular price.

1.15 + 20 = 21.15

Lesson 7 Ex1

7% = 0.07

\$1.75 + \$25 = \$26.75 Total price with tax

·

0.07

So, the price of the shirt including tax is \$26.75.

\$25 = \$1.75 Tax

A shirt costs \$25. The sales tax is 7%. What is the total cost of the shirt?

4.25% = 0.0425

\$3.83 + \$90 = \$93.83 Total price

·

0.0425

So, the price of the calculator including tax is \$93.83.

\$90 = 3.825 ≈ \$3.83 Tax

A calculator costs \$90. The sales tax is 4.25%. What is the total cost of the calculator?

6% = 0.06

\$6.93 + \$115.48 = \$122.41 Total price with tax

·

0.06

So, the price of the watch including tax is \$122.41.

\$115.48 = 6.9288 ≈\$6.93 Tax

A watch costs \$115.48 The sales tax is 6%. What is the total cost of the watch?

BOOKS A set of three paperback books sells for \$35 and the sales tax is 7%. What is the total cost of the set?

• A
• B
• C
• D

A. \$2.45

B. \$24.50

C. \$37.45

D. \$59.50

Lesson 7 CYP1

Find the Sale Price

OUTERWEAR Whitney wants to buy a new coat that has a regular price of \$185. This weekend, the coat is on sale at a 33% discount. What is the sale price of the coat?

Method 1 Subtract the discount from the regular price.

First, find the amount of the discount.

33% of \$185 = 0.33 ● \$185 Write 33% as a decimal.

= \$61.05 The discount is \$61.05.

Next, subtract the discount from the regular price.

So, the sale price is \$185 – \$61.05 or \$123.95.

Lesson 7 Ex2

40% = 0.40

\$35 – \$14 = \$21 Total price after discount

·

0.40

So, the price of the belt including discount is \$21.

\$35 = \$14 Discount

A belt costs \$35. The discount is 40%. What is the total cost of the belt?

25% = 0.25

\$39.00 - \$9.75 = \$29.25. Total price after discount

·

0.25

So, the price of the shirt including discount is \$29.25.

\$39 = \$9.75 Discount

A pair of jeans costs \$39. The discount is 25%. What is the total cost of the jeans?

%.

5.5% = 0.055

\$2.31 + \$42 = \$44.31 Total price with tax

·

0.055

\$42 = \$2.31 Tax

So, the price of the sweatshirt on sale is \$44.31.

A sweatshirt costs \$42. The sales tax is 5 What is the total cost of the sweatshirt?

ELECTRONICS Alex wants to buy a DVD player that has a regular price of \$175. This weekend, the DVD player is on sale at a 20% discount. What is the sale price of the DVD player?

• A
• B
• C
• D

A. \$35

B. \$210

C. \$171.50

D. \$140

Lesson 7 CYP2

The sale price is 60% (100% – 40%) of the original price.

Part

=

Whole

=

·

·

n

60

179.94

100

=

17994

60n

n

100

=

17994

60n

60

60

179.94

60

=

n

299.90

A guitar is on sale at 40% off. The sale price is \$179.94. What is the original price?

The sale price is 25% (100% – 75%) of the original price.

Part

=

Whole

=

·

·

n

25

2.25

100

=

225

25n

n

100

=

225

25n

25

25

2.25

25

=

n

9

A calendar is on sale at 75% off. The sale price is \$2.25. What is the original price?

The sale price is 70% (100% – 30%) of the original price.

Part

=

Whole

=

·

·

n

70

126

100

=

12600

70n

n

100

=

12600

70n

70

70

126

70

=

n

180

A calendar is on sale at 30% off. The sale price is \$126. What is the original price?

FURNITUREA rocking chair is on sale at 15% off. If the sale price is \$318.75, what is the original price?

• A
• B
• C
• D

A. \$375

B. \$366.56

C. \$270.94

D. \$431

Lesson 7 CYP3

Five-Minute Check (over Lesson 7-7)

Main Idea and Vocabulary

California Standards

Example 1: Find Interest Earned

Example 2: Find Interest Earned

Example 3: Find Interest Paid on a Loan

Example 4: Find Total Paid on a Credit Card

Standard 6NS1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.

Lesson 8 CA

Find Interest Earned

SAVINGSBrandon found a bank offering a certificate of deposit that pays 4% simple interest. He has \$1,500 to invest. How much interest will he earn in 3 years?

I = prtFormula for simple interest

I = 1,500 ● 0.04 ● 3 Replace p with \$1,500, r with 0.04, and t with 3.

I = 180 Simplify.

Answer: Brandon will earn \$180 in interest in 3 years.

Lesson 8 Ex1

Principal: The amount of money deposited or borrowed.

I = p · r· t

Interest

Annual interest rate written as a decimal.

Amount of time (IN YEARS) that money is deposited or borrowed.

I = prt

7.5% = 0.075

I = \$136 · 0.075 · 2

I = \$20.40

The interest is \$20.40.

Find the simple interest earned in a savings account where \$136 is deposited for 2 years if the interest rate is 7.5% per year.

I = prt

8.5% = 0.085

6 months = years

I = \$600 · 0.085 · 0.5

I = \$25.50

The interest is \$25.50.

I = prt

6.75% = 0.0675

1 ¾ years = 1.75 years

I = \$300 · 0.0675 · 1.75

I = 35.4375 ≈ \$35.44

The interest is \$35.44.

I = prt

4% = 0.04

I = \$2500 · 0.04 · 2

I = \$200 Interest

\$2500 + \$200 = \$2700 Total money in the account

If Robin invests \$2500 in a savings account, that yields 4% interest what will the account be worth after 2 years?

I = prt

5% = 0.05

She would have to earn \$500 in interest to have \$3000.

500 = \$2500 · 0.05 · t

500 = 125t

500

125t

=

125

125

t = 4. In 4 years she will have \$3000.

Ellen invests \$2500 at an interest rate of 5%. In how many years will she have \$3000?

I = prt

11.9% = 0.119

6 months = 0.5 years

I = \$1050 · 0.119 · 0.5

I = 62.475 ≈ \$62.48 Interest

\$1050 + \$62.48 = \$1112.48 Total cost of the vacation

The average cost for a vacation is \$1050. If a family borrows money for the vacation at an interest rate of 11.9% for 6 months, what is the total cost of the vacation including the interest on the loan?

SAVINGSCheryl opens a savings account that pays 5% simple interest. She deposits \$600. How much interest will she earn in 2 years?

• A
• B
• C
• D

A. \$60

B. \$300

C. \$450

D. \$6000

Lesson 8 CYP1

Find Interest Earned

SAVINGSBrandon found a bank offering a certificate of deposit that pays 4% simple interest. He has \$1,500 to invest. How much interest will he earn in 30 months?

Write the time as years.

I = prtFormula for simple interest

I = 1,500 ● 0.04 ● 2.5 p = \$1,500, r = 0.04, t = 2.5

I = 150 Simplify.

Answer: Brandon will earn \$150 in interest in 30 months.

Lesson 8 Ex2

SAVINGSMicah opens a savings account that pays 4% simple interest. He deposits \$2,000. How much interest will he earn in 42 months?

• A
• B
• C
• D

A. \$28

B. \$280

C. \$2,800

D. \$3,360

Lesson 8 CYP2

I = 2,000 ● 0.09●

Replace p with \$2,000, r with 0.09, and t with

Find Interest Paid on a Loan

LOANSLaura borrowed \$2,000 from her credit union to buy a computer. The interest rate is 9% per year. How much interest will she pay if it takes 8 months to repay the loan?

I = prt Formula for simple interest

I = 120 Simplify.

Answer: Laura will pay \$120 in interest in 8 months.

Lesson 8 Ex3

LOANSJuan borrowed \$7,500 from the bank to purchase a used car. The interest rate is 15% per year. How much interest will he pay if it takes 2 years to repay the loan?

• A
• B
• C
• D

A. \$225

B. \$1,500

C. \$2,250

D. \$25,000

Lesson 8 CYP3

I = 30 ● 0.08●

Replace p with \$30, r with 0.08, and t with

Find Total Paid on a Credit Card

CREDIT CARDSAlma charged a \$30 handbag on her credit card with an interest rate of 8%. How much money will she owe if she has no other charges on the card, and she does not pay off the balance at the end of the month?

I = prt Formula for simple interest

I = 0.20 Simplify.

Answer: So, the total amount owed would be \$30 + \$0.20 or \$30.20.

Lesson 8 Ex4

CREDIT CARDSCurtis charged a \$60 power tool on his credit card with an interest rate of 9%. How much money will he owe if he has no other charges on the card and he does not pay off the balance at the end of the month?

• A
• B
• C
• D

A. \$45

B. \$60.45

C. \$64.05

D. \$65.95

Lesson 8 CYP4

Five-Minute Checks

Image Bank

Math Tools

Percent of a Number

Percent of Change

Lesson 7-1(over Chapter 6)

Lesson 7-2(over Lesson 7-1)

Lesson 7-3(over Lesson 7-2)

Lesson 7-4(over Lesson 7-3)

Lesson 7-5(over Lesson 7-4)

Lesson 7-6 (over Lesson 7-5)

Lesson 7-7 (over Lesson 7-6)

Lesson 7-8 (over Lesson 7-7)

To use the images that are on the following three slides in your own presentation:

1. Exit this presentation.

2. Open a chapter presentation using a full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides.

3. Select an image, copy it, and paste it into your presentation.

IB 1

A.

B.

C.

D.

(over Chapter 6)

• A
• B
• C
• D

Write the ratio 35 meters to 1000 centimeters as a fraction in simplest form.

5Min 1-1

(over Chapter 6)

• A
• B
• C
• D

One box of cereal cost \$3.98 and weighs 18 ounces, and another box costs \$3.39 and weighs 16 ounces. What are the unit prices for each box of cereal? Which is the better deal?

A. \$4.72 per ounce; \$4.52 per ounce; \$3.39 for 16 ounces is the better deal.

B. \$4.52 per ounce; \$4.72 per ounce; \$3.98 for 18 ounces is the better deal.

C. \$0.22 per ounce; \$0.21 per ounce; \$3.98 for 18 ounces is the better deal.

D. \$0.22 per ounce; \$0.21 per ounce; \$3.39 for 16 ounces is the better deal.

5Min 1-2

A.

B.

C.

D.

(over Chapter 6)

• A
• B
• C
• D

If you were making a scale drawing of a building that is 500 feet tall, how large would the drawing be with a scale of 1 inch = 35 feet? Write the answer as a fraction.

5Min 1-3

A.

B.

C.

D.

(over Chapter 6)

• A
• B
• C
• D

Write 240% as a decimal and a mixed number or fraction in simplest form.

5Min 1-4

A.20

B.

C.5

D.40

(over Chapter 6)

• A
• B
• C
• D

10 c = __ pt

5Min 1-5

(over Chapter 6)

• A
• B
• C
• D

Choose the term which describes a ratio where the denominator must be 1 when it is in simplest form.

A. rate

B. scale

C. unit rate

D. base

5Min 1-6

(over Lesson 7-1)

• A
• B
• C
• D

What is 165% of 60? Round to the nearest tenth if necessary.

A. 36

B. 74

C. 99

D. 275

5Min 2-1

(over Lesson 7-1)

• A
• B
• C
• D

What number is 233% of 75?

A. 77.33

B. 174.75

C. 194.27

D. 310.67

5Min 2-2

(over Lesson 7-1)

• A
• B
• C
• D

48% of 90 is what number?

A. 187.5

B. 53.3

C. 43.2

D. 42.3

5Min 2-3

(over Lesson 7-1)

• A
• B
• C
• D

Find 20% of \$365.

A. \$18

B. \$73

C. \$83

D. \$292

5Min 2-4

(over Lesson 7-1)

• A
• B
• C
• D

What number is 165% of 105?

A. 173.25

B. 169.63

C. 157.14

D. 63.63

5Min 2-5

(over Lesson 7-1)

• A
• B
• C
• D

Tanya earns a perfect score 25 percent of the time when she performs her gymnastics routine in front of a panel of judges. If she performs 44 times in a season, how many times will she not receive a perfect score?

A. 11

B. 25

C. 33

D. 44

5Min 2-6

(over Lesson 7-2)

• A
• B
• C
• D

What percent of 80 is 25? Round to the nearest tenth if necessary.

A. 2,000%

B. 31.3%

C. 20%

D. 3.2%

5Min 3-1

(over Lesson 7-2)

• A
• B
• C
• D

What number is 30% of 80? Round to the nearest tenth if necessary.

A. 24

B. 50

C. 110

D. 2,400

5Min 3-2

(over Lesson 7-2)

• A
• B
• C
• D

30 is 40% of what number? Round to the nearest tenth if necessary.

A. 10

B. 12

C. 75

D. 1,200

5Min 3-3

(over Lesson 7-2)

• A
• B
• C
• D

\$6 is what percent of \$42? Round to the nearest tenth if necessary.

A. 0.14%

B. 14.3%

C. 252%

D. 700%

5Min 3-4

(over Lesson 7-2)

• A
• B
• C
• D

What number is 0.2% of 4? Round to the nearest tenth if necessary.

A. 0.008

B. 0.8

C. 8

D. 20

5Min 3-5

(over Lesson 7-2)

• A
• B
• C
• D

Joseph saves 30% of his allowance each week. If he saves \$24 in 5 weeks, how much allowance does Joseph receive each week?

A. \$7.20

B. \$16

C. \$36

D. \$80

5Min 3-6

(over Lesson 7-3)

• A
• B
• C
• D

Estimate 48% of 30 by using fractions.

A. 13

B. 15

C. 16

D. 17

5Min 4-1

(over Lesson 7-3)

• A
• B
• C
• D

Estimate 8.5% of 278 by using fractions.

A. 22

B. 25

C. 28

D. 30

5Min 4-2

(over Lesson 7-3)

• A
• B
• C
• D

Estimate 112% of 49 by using 10%.

A. 49

B. 50

C. 54

D. 55

5Min 4-3

(over Lesson 7-3)

• A
• B
• C
• D

Estimate 83% of 79 by using 10%.

A. 60

B. 64

C. 65

D. 68

5Min 4-4

(over Lesson 7-3)

• A
• B
• C
• D

Twenty-two percent of the seventh-grade class at Santa Ana Middle School have blue eyes. If the seventh-grade class has 139 students, about how many have blue eyes?

A. 35

B. 34

C. 28

D. 27

5Min 4-5

(over Lesson 7-3)

• A
• B
• C
• D

Estimate 128% of 179.

A. 18

B. 23

C. 128

D. 234

5Min 4-6

(over Lesson 7-4)

• A
• B
• C
• D

Write an equation for the problem. Then solve. Round to the nearest tenth if necessary. 38 is what percent of 320?

A. 38 = n● 320; 11.9%

B. 38 = n● 320; 8.4%

C. 320 = 38 ● n; 8.4%

D. 320 = 38 ● n; 11.9%

5Min 5-1

(over Lesson 7-4)

• A
• B
• C
• D

Write an equation for the problem. Then solve. Round to the nearest tenth if necessary. 24% of what number is 72?

A. 24 ● n = 72; 3

B. 0.24 ● 72 = n; 18

C. 0.24 ● n = 72; 33

D. 0.24 ● n = 72; 300

5Min 5-2

(over Lesson 7-4)

• A
• B
• C
• D

Write an equation for the problem. Then solve. Round to the nearest tenth if necessary. Find 43% of 128.

A. 0.43 ● n = 128; 29.7

B. 0.43 ● 128 = n; 29.7

C. 0.43 ● 128 = n; 55.0

D. 128 ● n = 0.43; 55.0

5Min 5-3

(over Lesson 7-4)

• A
• B
• C
• D

Write an equation for the problem. Then solve. Round to the nearest tenth if necessary. What percent of 28 is 9?

A.n● 28 = 9; 32.1%

B. 0.9 ● n = 28; 32.1%

C. 0.9 ● n = 28; 31.1%

D.n● 28 = 9; 25.2%

5Min 5-4

(over Lesson 7-4)

• A
• B
• C
• D

Thirteen percent of the profits from Kendall’s business are donated to charities. Write and solve an equation to find out how much Kendall donates if her profits are \$1,292.42.

A. 13 ● 1,292.42 = n; \$168.01

B. 0.13 ● 1,292.42 = n; \$168.01

C. 13 ● 1,292.42 = n; \$99.41

D. 0.13 ● 1,292.42 = n; \$99.41

5Min 5-5

(over Lesson 7-4)

• A
• B
• C
• D

17 is what percent of 104?

A. 17.7%

B. 17.3%

C. 16.7%

D. 16.3%

5Min 5-6

(over Lesson 7-5)

• A
• B
• C
• D

If the speed limit is 65 miles per hour, what is a reasonable amount of time it will take the Blackwell’s to travel 300 miles?

A. 3 hours

B. 5 hours

C. 7 hours

D. 8 hours

5Min 6-1

(over Lesson 7-5)

• A
• B
• C
• D

There are 400 boys at Oak Middle School and 9% play football. What is a reasonable number of boys that play football?

A. 35

B. 40

C. 50

D. 25

5Min 6-2

(over Lesson 7-5)

• A
• B
• C
• D

Suppose you are going to dinner and a movie with a friend. If you spend \$18 and the movie is 62% of the cost, what is a reasonable cost for dinner?

A. \$11.00

B. \$5.00

C. \$7.00

D. \$12.00

5Min 6-3

(over Lesson 7-5)

• A
• B
• C
• D

Lisa has 6 coins that total \$0.86. What are the coins?

A. 2 quarters, 2 dimes, 1 nickel, 1 penny

B. 3 quarters, 3 nickels

C. 3 quarters, 2 nickels, 1 penny

D. 4 dimes, 2 pennies

5Min 6-4

(over Lesson 7-5)

• A
• B
• C
• D

A number is multiplied by 13. Then 5 is subtracted from the product. The result is 60. What is the number?

A. 4

B. 5

C. 7

D. 9

5Min 6-5

(over Lesson 7-6)

• A
• B
• C
• D

Find the percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. original: 50; new: 80

A. 60% increase

B. 60% decrease

C. 40% increase

D. 40% decrease

5Min 7-1

(over Lesson 7-6)

• A
• B
• C
• D

Find the percent of change. Round to the nearest whole percent, if necessary. State whether the percent of change is an increase or decrease. original: 138; new: 200

A. 31% increase

B. 31% decrease

C. 45% increase

D. 45% decrease

5Min 7-2

(over Lesson 7-6)

• A
• B
• C
• D

Find the percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. original: \$21.50; new: \$16.25

A. 32% increase

B. 32% decrease

C. 24% increase

D. 24% decrease

5Min 7-3

(over Lesson 7-6)

• A
• B
• C
• D

Find the percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. original: 17; new: 143

A. 741% increase

B. 741% decrease

C. 88% increase

D. 88% decrease

5Min 7-4

(over Lesson 7-6)

• A
• B
• C
• D

Natalie’s kitten weighed 2.7 pounds when she bought it. Now it weighs 4.2 pounds. What is the percent of increase in the kitten’s weight?

A. 36%

B. 44%

C. 56%

D. 67%

5Min 7-5

(over Lesson 7-6)

• A
• B
• C
• D

If the first movie release by a film company this year made \$20.4 million dollars at the box office, and the second movie made \$13.2 million, what was the percent of change in the film company’s revenues.

A. 35% increase

B. 35% decrease

C. 7.2% increase

D. 7.2% decrease

5Min 7-6

(over Lesson 7-7)

• A
• B
• C
• D

Find the total cost or sale price to the nearest cent. \$120 jacket; 30% discount

A. \$36

B. \$84

C. \$150

D. \$156

5Min 8-1

(over Lesson 7-7)

• A
• B
• C
• D

Find the total cost or sale price to the nearest cent. \$12,300 car; 5% sales tax

A. \$12,915

B. \$12,685

C. \$11,915

D. \$11,685

5Min 8-2

(over Lesson 8-8)

• A
• B
• C
• D

Find the total cost or sale price to the nearest cent. \$12 book; 8.5% sales tax

A. \$10.98

B. \$11.98

C. \$12.02

D. \$13.02

5Min 8-3

(over Lesson 7-7)

• A
• B
• C
• D

Find the percent of discount to the nearest percent. regular priced meal: \$32.50; employee meal: \$13

A. 85%

B. 60%

C. 40%

D. 15%

5Min 8-4

(over Lesson 7-7)

• A
• B
• C
• D

A shirt at the store is advertised "Buy 2, Get 1 Free." If the original price of the shirt is \$12.99 and you take advantage of the special offer, what is the price you would pay per shirt, and what percent is the discount from the original price?

A. \$6.49 per shirt; 50% discount

B. \$6.94 per shirt; 50% discount

C. \$8.66 per shirt; 66% discount

D. \$8.66 per shirt; 33% discount

5Min 8-5

(over Lesson 7-7)

• A
• B
• C
• D

A hotel room costs \$155 per night. What is the total cost with a 30% discount and 5.5% sales tax?

A. \$46.50

B. \$108.50

C. \$114.47

D. \$190.42

5Min 8-6