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Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Estimate. 1. 20% of 602 2. 133 out of 264 3. 151% of 78 4. 0.28 out of 0.95. Possible answers:. 120. 50%. 120. 30%. Problem of the Day

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Presentation Transcript
slide1

Warm Up

Problem of the Day

Lesson Presentation

Lesson Quizzes

slide2

Warm Up

Estimate.

1.20% of 602

2. 133 out of 264

3. 151% of 78

4. 0.28 out of 0.95

Possible answers:

120

50%

120

30%

slide3

Problem of the Day

A clothing outlet has a storewide clearance of 10% off all items. In addition, there is a “buy two, get one free” sale on a set of shirts of equal price. What is the total percent price reduction if you buy 3 shirts?

40%

slide5

Vocabulary

commission

commission rate

slide6

Salespeople often work for commission. A commission is a fee paid to a person who makes a sale. It is usually a percent of the selling price. This percent is called the commission rate.

Often salespeople are paid a commission plus a regular salary. The total pay is a percent of the sales they make plus a salary.

commission ratesales = commission

slide7

Additional Example 1: Multiplying by Percents to Find Commission Amounts

A real-estate agent is paid a monthly salary of $900 plus commission. Last month he sold one condominium for $65,000, earning a 4% commission on the sale. How much was his commission? What was his total pay last month?

First find his commission.

4%  $65,000 = ccommission rate sales = commission

slide8

Additional Example 1 Continued

0.04  65,000 = cChange the percent to a decimal.

2600 = cSolve for c.

He earned a commission of $2600 on the sale.

Now find his total pay for last month.

$2600 + $900 = $3500 commission + salary = total pay.

His total pay for last month was $3500.

slide9

Check It Out: Example 1

A car sales agent is paid a monthly salary of $700 plus commission. Last month she sold one sports car for $50,000, earning a 5% commission on the sale. How much was her commission? What was her total pay last month?

First find her commission.

5%  $50,000 = c commission rate sales = commission

slide10

Check It Out: Example 1 Continued

0.05  50,000 = cChange the percent to a decimal.

2500 = c Solve for c.

The agent earned a commission of $2500 on the sale.

Now find her total pay for last month.

$2500 + $700 = $3200 commission + salary = total pay.

Her total pay for last month was $3200.

slide11

Sales tax is the tax on the sale of an item or service. It is a percent of the purchase price and is collected by the seller.

slide12

CD: 2 at $16.99 $33.98

DVD: 1 at $36.29 $36.29

Additional Example 2: Multiplying by Percents to Find Sales Tax Amounts

If the sales tax rate is 6.75%, how much tax would Adrian pay if he bought two CDs at $16.99 each and one DVD for $36.29?

$70.27 Total Price

0.0675 70.27 = 4.743225 Write the tax rate as a decimal and multiply by the total price.

Adrian would pay $4.74 in sales tax.

slide13

Check It Out: Example 2

Amy stays in a hotel for $45 per night. She stays for two nights and pays a sales tax of 13%. How much tax did she pay?

$45  2 = $90 Find the total price for the hotel stay.

$90  0.13 = $11.70 Write the tax rate as a decimal and multiply by the total price.

Amy spent $11.70 on sales tax.

slide14

114.75

n

=

1500

100

Additional Example 3: Using Proportions to Find the Percent of Earnings

Anna earns $1500 monthly. Of that, $114.75 is withheld for Social Security and Medicare. What percent of Anna’s earnings are withheld for Social Security and Medicare?

Think: What percent of $1500 is $114.75?

Set up a proportion.

n 1500 = 100 114.75 Find the cross products.

slide15

11,475

n

=

1500

Additional Example 3 Continued

1500n = 11,475 Divide both sides by 1500.

n = 7.65

Simplify.

7.65% of Anna’s earnings is withheld for Social Security and Medicare.

slide16

500

n

=

2500

100

Check It Out: Example 3

BJ earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax?

Think: What percent of $2500 is $500?

Set up a proportion.

n 2500 = 100 500 Find the cross products.

slide17

50000

n

=

2500

Check It Out: Example 3 Continued

2500n = 50,000 Divide both sides by 2500.

n = 20

Simplify.

20% of BJ’s earnings are withheld for income tax.

slide18

= sDivide each side by 0.12.

960

0.12

Additional Example 4: Dividing by Percents to Find Total Sales

A furniture sales associate earned $960 in commission in May. If his commission is 12% of sales, how much were his sales in May?

Think: $960 is 12% of what number?

Let s = total sales

960 = 0.12 sSet up an equation.

8000 = s

Simplify.

The associate’s sales in May were $8000.

slide19

= sDivide each side by 0.07.

770

0.07

Check It Out: Example 4

A sales associate earned $770 in commission in May. If his commission is 7% of sales, how much were his sales in May?

Think: $770 is 7% of what number?

Let s represent total sales

770 = 0.07 sSet up an equation.

Simplify.

11,000 = s

The associate’s sales in May were $11,000.

slide20

Lesson Quizzes

Standard Lesson Quiz

Lesson Quiz for Student Response Systems

slide21

Lesson Quiz: Part I

1. Every month, Gillian makes $1600 plus an 8.9% commission on sales. If her sales last month totaled $18,400, what was her total pay?

2. The sales tax is 5.75%, and the shirt costs $20. What is the total cost of the shirt?

3. Sheridan has a yearly income of $39,650, and he is advised to invest $4500 every year. What percent of his income should he invest, to the nearest tenth of a percent?

$3237.60

$21.15

11.3%

slide22

Lesson Quiz: Part II

4. If you earn a 4% commission, how much would your total sales have to be to make a commission of $115?

$2875

slide23

Lesson Quiz for Student Response Systems

1. Vito works at a supermarket. He earns a weekly salary of $500 plus 5% commission on sales. His sales last week totaled $3600. What was his total pay last week?

A. $525

B. $680

C.$725

D.$880

slide24

Lesson Quiz for Student Response Systems

2. Arnold bought an MP3 player. If the sales tax is 8%, and the MP3 player costs $74, what is the total cost of the MP3 player?

A. $86.25

B. $82.75

C.$79.92

D.$78.75

slide25

Lesson Quiz for Student Response Systems

3. Marcus earns $30,000 yearly. Of that, he spends $3250 on clothes every year. What percent of his earnings are spent on clothes to the nearest tenth of a percent?

A. 5.7%

B. 7.4%

C. 9.1%

D.10.8%

slide26

Lesson Quiz for Student Response Systems

4. Jim works in an automobile showroom. He earns 5% commission on the sale of a car. If he earned $1750 as commission, what is the price of the car?

A. $35,000

B. $40,000

C. $42,000

D.$45,500