1. Percent Applications Lesson 3.4 Core Focus on Ratios, Rates and Statistics

2. Solve each percent problem. 1.15% of 20 is ______. 2.______ is 40% of 35. 3.______ is 10% of $50. Warm-Up 3 14 $5

3. Percent Applications Solve problems involving discounts, tips and tax. Lesson 3.4

4. Discount The amount of money subtracted from the original price of an item to give you the sale price. A discount is based on a certain percent off the original price of an item. Sales tax An amount added to the cost of an item. The amount added is a percent of the original amount as determined by a state, county or city. Vocabulary

5. Anna ordered a new vacuum cleaner with an original price of $98. The vacuum cleaner was on sale for 20% off. a. What was the value of the discount? Write the problem.20% of $98 is what? Convert words to a math expression0.20  98 = 19.6 and simplify. The value of the discount was $19.60. Example 1

6. Anna ordered a new vacuum cleaner with an original price of $98. The vacuum cleaner was on sale for 20% off. b. What was the sale price of the vacuum cleaner? Anna saved $19.60 when she ordered the vacuum cleaner. Find the amount she paid by subtracting98.00 the amount she saved from the total.– 19.60 78.40 The sale price of the vacuum cleaner was $78.40. Example 1 Continued…

7. Bryan went to the mall to buy a new video game. When he got to the store he found there was a sale. The game was originally $29.99. It had a sticker which read “10% off the original price!” What was the value of the discount? Write the problem.10% of 29.99 is what? Convert the words to a math problem.0.10  29.99 = 2.999 Round to the nearest cent.$2.999  $3.00 The value of the discount was $3.00 Example 2

8. Step 1Nina orders chicken, baked beans and a soda. What would be the cost of her meal? Step 2Cameron orders ribs, coleslaw, a roll and a soda. What would be the cost of his meal? Nina and Cameron went to Billy’s BBQ for lunch. The menu items are shown below. Step 3A tip for a server is based on the amount of the bill. It is common to leave 15% of the total bill as a tip. Find the amount Nina should leave as a tip following the 15% rule.

9. Step 4Find the amount Cameron should leave as a 15% tip. Step 5Cameron pays for both meals. Billy was an excellent server so Cameron leaves a 20% tip. How much did Cameron leave as a tip? Step 6What was the total cost for both meals and a 20% tip? Nina and Cameron went to Billy’s BBQ for lunch. The menu items are shown below.

10. Jose traveled to Florida to visit family. While in Florida he bought a t-shirt priced at $25.00. The sales tax in Florida was 6%. a. How much sales tax did he pay for the shirt? Write the problem.6% of $25.00 is what? Solve the percent problem.0.06  25.00 = 1.5 Jose will pay an additional $1.50 in sales tax. b.What was the total amount he paid for the shirt? Add the tax to the original price. 25.00 + 1.50 26.50 The total amount for the shirt, including tax, was $26.50. Example 3

11. What are the benefits for a state with a sales tax? Communication Prompt

12. 1.Denise bought a treadmill that was originally priced at $200 but was 25% off. a)How much was the discount on the treadmill? b)What was the sale price for the treadmill? 2.Quinn went to lunch and had a bill of $16.00. Find the amount of money he left as a tip if he tipped 15%. Exit Problems $50 $150 $2.40