Homework 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? $3237.60 $21.15 11.3% 4. A grocery store earns 5% profit on all canned goods. If the store sold $1635 of canned goods, what was the profit? $81.75

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

A commission is a fee paid to a person who makes a sale 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. commission rate  sales = commission

Additional Example 1: Multiplying by Percents to Find Commission Amounts 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? First find his commission. 4%  $65,000 = c commission rate  sales = commission 0.04  65,000 = c Change the percent to a decimal. 2600 = c Solve for c.

Additional Example 1 Continued 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? 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.

Check It Out! Example 1 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? First find her commission. 5%  $50,000 = c commission rate  sales = commission 0.05  50,000 = c Change the percent to a decimal. 2500 = c Solve for c.

Check It Out! Example 1 Continued 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? The agent earned a commission of $2500 on the sale. Now find her total pay for last month. $2500 + $700 = $3200 commission + salary = total pay. Her total pay for last month was $3200.

Sales tax is the tax on the sale of an item or service 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.

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

Check It Out! Example 2 Amy reserves a hotel room 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.

Additional Example 3: Using Proportions to Find the Percent of Earnings 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? Think: What percent of $1500 is $114.75? 114.75 1500 n 100 = Set up a proportion. n  1500 = 100  114.75 Find the cross products. 1500n = 11,475 Simplify.

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

Check It Out! Example 3 BJ earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax? Think: What percent of $2500 is $500? 500 2500 n 100 = Set up a proportion. n  2500 = 100  500 Find the cross products. 2500n = 50,000 Simplify. 50,000 2500 n = Divide both sides by 2500. n = 20 Simplify. 20% of BJ’s earnings are withheld for income tax.

Additional Example 4A: Finding Profit and Total Sales A furniture store earns 30% profit on all sales. If total sales are $2790, what is the profit? Think: What is 30% of 2790? x = 0.30  2790 Set up an equation. x = 837 Multiply. The profit is $837.

Additional Example 4B: Finding Profit and Total Sales A furniture store earns 30% profit on all sales. If the store earns $10,044, how much are the total sales? Think: 10,044 is 30% of what number? Let s = total sales 10,044 = 0.30  s Set up an equation. 10,044 0.30 = Divide each side by 0.30. 0.30s 33,480 = s Simplify. The total sales are $33,480.

Check It Out! Example 4A A retail store earns 40% profit on all sales. If total sales are $3320, what is the profit? Think: What is 40% of 3320? x = 0.40  3320 Set up an equation. Multiply. x = 1328 The profit is $1328.

Check It Out! Example 4B A furniture store earns 40% profit on all sales. If the store earns $5,680, how much are the total sales? Think: 5,680 is 40% of what number? Let s = total sales 5,680 = 0.40  s Set up an equation. 5,680 0.40 = Divide each side by 0.04. 0.40s 14,200 = s Simplify. The total sales are $14,200.

Homework 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? $3237.60 $21.15 11.3% 4. A grocery store earns 5% profit on all canned goods. If the store sold $1635 of canned goods, what was the profit? $81.75