1. Course 3 6-6 Applications of Percents Warm Up Estimate. 1. 20% of 602 2. 133 out of 264 3. 151% of 78 4. 0.28 out of 0.95 120 50% 120 30% Possible answers:

2. Course 3 6-6 Applications of Percents Learn to find commission, sales tax, and percent of earnings. TB P. 298-301

3. Course 3 6-6 Applications of Percents Vocabulary commission commission rate sales tax

4. Course 3 6-6 Applications of Percents Car 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 ratesalescommission commission rate  sales = commission

5. Course 3 6-6 Applications of Percents 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? Additional Example 1: Multiplying by Percents to Find Commission Amounts First find his commission. 4%  $65,000 = ccommission rate  sales = commission

6. Course 3 6-6 Applications of Percents 0.04  65,000 = c Change the percent to a decimal. Additional Example 1 Continued 2600 = c Solve 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.

7. Course 3 6-6 Applications of Percents 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.

8. Course 3 6-6 Applications of Percents 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? Additional Example 2: Multiplying by Percents to Find Sales Tax Amounts CD: 2 at $16.99$33.98 DVD: 1 at $36.29 $36.29 $70.27Total Price 0.0675  70.27 = 4.743225Write the tax rate as a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.

9. Course 3 6-6 Applications of Percents 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? Additional Example 3: Using Proportions to Find the Percent of Earnings Think: What percent of $1500 is $114.75? Set up a proportion. 114.75 1500 n 100 = n  1500 = 100  114.75 Find the cross products.

10. Course 3 6-6 Applications of Percents Additional Example 3 Continued n = 7.65 7.65% of Anna’s earnings is withheld for Social Security and Medicare. 11,475 1500 n = 1500n = 11,475 Divide both sides by 1500. Simplify.

11. Course 3 6-6 Applications of Percents A furniture sales associate earned $960 in commission in May. If his commission is 12% of sales, how much were his sales in May? Additional Example 4: Dividing by Percents to Find Total Sales Think: $960 is 12% of what number? Let s = total sales 960 = 0.12  sSet up an equation. 960 0.12 = s Divide each side by 0.12. 8000 = s The associate’s sales in May were $8000. Simplify.

12. Course 3 6-6 Applications of Percents Lesson Quiz: Part 1 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? $21.15 $3237.60 11.3%

13. Course 3 6-6 Applications of Percents Lesson Quiz: Part 2 4. If you earn a 4% commission, how much would your total sales have to be to make a commission of $115? $2875