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

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Applications of Percents 6-6 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:

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Applications of Percents 6-6 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%

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Applications of Percents 6-6 MA.8.A.6.4 Perform operations on real numbers (including…percents…) using multi-step and real world problems. Sunshine State Standards

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Applications of Percents 6-6 Vocabulary commission commission rate

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Applications of Percents 6-6 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

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Applications of Percents 6-6 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

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Applications of Percents 6-6 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.

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Applications of Percents 6-6 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 Commission = 5% of $50,000 = 0.05 50,000 total pay = $700 + $2500 = $3200 = $2500

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Applications of Percents 6-6 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.

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Applications of Percents 6-6 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.

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Applications of Percents 6-6 Check It Out: Example 2 Amy rents a hotel room for $45 per night. She rents for two nights and pays a sales tax of 13%. How much tax did she pay? 2 nights at $45 = 2 45 = $90 0.13 90 = 11.70 Amy would pay $11.70 in sales tax.

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Applications of Percents 6-6 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.

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Applications of Percents 6-6 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.

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Applications of Percents 6-6 Bill earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of Bill’s earnings are withheld for income tax? Check It Out: Example 3 500 2500 n 100 = 1 5 n = n 5 = 10 1 5n = 100

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Applications of Percents 6-6 Check It Out: Example 3 Continued = 20 20% of Bill’s earnings are withheld for income tax. 100 5 n =

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Applications of Percents 6-6 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.

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Applications of Percents 6-6 A sales associate earned $770 in commission in May. If her commission is 7% of sales, how much were her sales in May? Check It Out: Example 4 770 = 0.07 s 770 0.07 = s 11,000 = s She made sales of $11,000 in May.

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

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Applications of Percents 6-6 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 $3237.60 11.3%

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Applications of Percents 6-6 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

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Applications of Percents 6-6 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 Lesson Quiz for Student Response Systems

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Applications of Percents 6-6 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 Lesson Quiz for Student Response Systems

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Applications of Percents 6-6 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% Lesson Quiz for Student Response Systems

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Applications of Percents 6-6 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 Lesson Quiz for Student Response Systems

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