Applications of Percents 6-5 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

Applications of Percents 6-5 Warm Up Estimate % of out of % of out of % % Possible answers:

Applications of Percents 6-5 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%

Applications of Percents 6-5 Learn to find commission, sales tax, and percent of earnings.

Applications of Percents 6-5 Vocabulary commission commission rate

Applications of Percents 6-5 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

Applications of Percents 6-5 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

Applications of Percents  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. $ $900 = $3500 commission + salary = total pay. His total pay for last month was $3500.

Applications of Percents 6-5 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? Check It Out: Example 1 First find her commission. 5%  $50,000 = ccommission rate  sales = commission

Applications of Percents  50,000 = c Change the percent to a decimal. Check It Out: Example 1 Continued 2500 = c Solve for c. The agent earned a commission of $2500 on the sale. Now find her total pay for last month. $ $700 = $3200 commission + salary = total pay. Her total pay for last month was $3200.

Applications of Percents 6-5 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.

Applications of Percents 6-5 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  = Write the tax rate as a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.

Applications of Percents 6-5 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.

Applications of Percents 6-5 Anna earns $1500 monthly. Of that, $ 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 n 100 = n  1500 = 100  Find the cross products.

Applications of Percents 6-5 Additional Example 3 Continued n = % of Anna’s earnings is withheld for Social Security and Medicare. 11, n = 1500n = 11,475 Divide both sides by Simplify.

Applications of Percents 6-5 BJ earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax? Check It Out: Example 3 Think: What percent of $2500 is $500? Set up a proportion n 100 = n  2500 = 100  500Find the cross products.

Applications of Percents 6-5 Check It Out: Example 3 Continued n = 20 20% of BJ’s earnings are withheld for income tax n = 2500n = 50,000 Divide both sides by Simplify.

Applications of Percents 6-5 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 = s Divide each side by = s The associate’s sales in May were $8000. Simplify.

Applications of Percents 6-5 A sales associate earned $770 in commission in May. If his commission is 7% of sales, how much were his sales in May? Check It Out: Example 4 Think: $770 is 7% of what number? Let s represent total sales 770 = 0.07  sSet up an equation = s Divide each side by ,000 = s Simplify. The associate’s sales in May were $11,000.

Applications of Percents 6-5 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

Applications of Percents 6-5 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? $21.15 $ %

Applications of Percents 6-5 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

Applications of Percents 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 Lesson Quiz for Student Response Systems

Applications of Percents 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 Lesson Quiz for Student Response Systems

Applications of Percents 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% Lesson Quiz for Student Response Systems

Applications of Percents 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 Lesson Quiz for Student Response Systems