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 Math Journal (5 Min) “What Do I Know About” – Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write about what they know about the lesson before they have been taught the lesson, and at the end of class, write about what they now know about the lesson after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 sentence that they now know that pertained to the lesson.

Applications of Percents 6-5 Homework Review (5 Min)

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 Textbook Examples (I Do) (5 Min)

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 Class work Problems (We Do) (10 Min) Pg (1-4)

Applications of Percents 6-5

Applications of Percents 6-5 Small Group CW(Yall Do) (10 Min) Pg (6-18 EOE)

Applications of Percents 6-5

Applications of Percents 6-5

Applications of Percents 6-5

Applications of Percents 6-5

Applications of Percents 6-5 Homework (You Do) (10 Min) Pg (5, 7, 9, 13, 15 odd)

Applications of Percents 6-5 Math Journal (5 Min) “What Do I Know About” – Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write about what they know about the lesson before they have been taught the lesson, and at the end of class, write about what they now know about the lesson after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 sentence that they now know that pertained to the lesson.

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