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1. A B C D Taneesha bought a laptop for \$846.94 including tax. The laptop had a price of \$799.00. What percent sales tax did she pay? A. 9.4% B. 1.06% C. 5.7% D. 6% 5-Minute Check 6

2. Splash Screen

3. You have already solved real-world problems using the percent proportion. (Lesson 7–3) • Find percent of increase and decrease. • Solve real-world problems involving markup and discount. Then/Now

4. The ratio of the increase or decrease of an amount to the original amount • percent of change The ratio of an amount of increase to the original amount, expressed as a percent • percent of increase • percent of decrease • markup • selling price • discount The ratio of an amount of decrease to the original amount, expressed as a percent (negative value) The amount the price of an item is increased above the price of the store paid for an item The amount a customer pays for an item The amount by which the regular price of an item is reduced Vocabulary

5. Concept

6. Find the Percent of Change Find the percent of change from 20 students to 24 students. State whether the percent of change is an increase or decrease. Step 1Subtract to find the amount of change. 24 – 20 = 4 final amount – original amount Step 2Write a ratio that compares the amount of change to the original amount. Express the ratio as a percent. Example 1

7. Find the Percent of Change Simplify. Step 3The decimal 0.20 is written as 20%. The percent of change is positive, so it is a percent of increase. Answer: 20%; increase Example 1

8. A B C D What is the percent of change from 24 to 30 students? A. –20%; decrease B. –25%; decrease C. 20%; increase D. 25%; increase Example 1

9. Find the Percent of Change Pedro had 325 trading cards. He now has 270 trading cards. Find the percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is an increase or decrease. Step 1Subtract to find the amount of change. 270 – 325 = –55 final amount – original amount Step 2Write a ratio that compares the amount of change to the original amount. Express the ratio as a percent. Example 2

10. Find the Percent of Change Substitution Divide. Use a calculator. Answer: To the nearest percent, the percent of change is –16.9%. Because the percent is negative, it is a percent of decrease. Example 2

11. A B C D John had \$420 in his checking account at the beginning of May. At the beginning of June he had \$345. What was the percent of increase or decrease to the nearest tenth? A. –17.9%; decrease B. –21.7%; decrease C. 17.9%; increase D. 21.7%; increase Example 2

12. Find the Selling Price Find the selling price if a store pays \$68 for a portable DVD player, and the markup is 35%. Method 1 Find the amount of markup first. The whole is \$68. The percent is 35. You need to find the amount of the markup, or the part. Let m represent the amount of the markup. Cross Products m = \$23.80 So, \$68 + \$23.80 = \$91.80. Example 3

13. Find the Selling Price Method 2 Find the total percent first. Since we pay an additional 35%, it is like the price of the item is at 135% of the price the store paid m = \$91.80 Answer: Using either method, the selling price is \$91.80 Example 3

14. A B C D The markup on a pair of shoes is 40%. If the store paid \$48 for a pair of shoes, what is the selling price? A. \$28.80 B. \$48.40 C. \$67.20 D. \$88.00 Example 3

15. Find the Sale Price BASEBALL MITT CR Sporting Goods is having a sale. A baseball mitt has an original price of \$89. It is on sale for 25% off the original price. Find the sale price of the baseball mitt. Method 1 Find the amount of the discount. The whole is \$89. The percent is 25. You need to find the amount of the discount, or the part. Let d represent the amount of the discount. d = \$22.25. So, \$89 – \$22.25 = \$66.75. Example 4

16. Find the Sale Price Method 2 Find the total percent first. We use 75% because we are taking away 25% from the original price (100%) d = \$66.75 Answer: Using either method, the sale price is \$66.75. Example 4

17. A B C D A store is having a 35% off sale. What is the sale price of a shirt normally costing \$32? A. \$11.20 B. \$20.80 C. \$27.00 D. \$43.20 Example 4

18. End of the Lesson