1. Warm Up Change to a decimal 1. 20% 2. 45% 3. 151% 4. 2%.2.45 1.51 Course 3 8-6 Applications of Percents.02

2. Learn to find commission and sales tax. Course 3 8-6 Applications of Percents

3. Course 3 8-6 Applications of Percents Real estate agents 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 agents are paid a commission plus a regular salary. The total pay is a percent of the sales they make plus a salary. commission = commission ratesales commission = commission rate  sales

4. 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 Course 3 8-6 Applications of Percents First find his commission. 4%  $65,000 = ccommission rate  sales = commission

5. 0.04  65,000 = c Change the percent to a decimal. Additional Example 1 Continued Course 3 8-6 Applications of Percents 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.

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? Try This: Example 1 Course 3 8-6 Applications of Percents First find her commission. 5%  $50,000 = ccommission rate  sales = commission

7. 0.05  50,000 = c Change the percent to a decimal. Try This: Example 1 Continued Course 3 8-6 Applications of Percents 2500 = c Solve for c. 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.

8. Try this one Alice earns a monthly salary of $315 plus a commission on her total sales. Last month her total sales were $9640, and she earned a total of $1182.60. What was her commission rate? Substitute into our formula what we know then solve for the missing variable

9. Course 3 8-6 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. When using our percent proportion the rate is the % and the amount is the part.

10. 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 Course 3 8-6 Applications of Percents CD: 2 at $16.99$33.98 DVD: 1 at $36.29 $36.29 $70.27Total Price 0.0675  70.27 = 4.743225Convert tax rate to a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.

11. Try This: Example 2 Amy rents a hotel for $45 per night. She rents for two nights and pays a sales tax of 13%. How much tax did she pay? Insert Lesson Title Here Course 3 8-6 Applications of Percents $45  2 = $90 Find the total price for the hotel stay. $90  0.13 = $11.70 Convert tax rate to a decimal and multiply by the total price. Amy spent $11.70 on sales tax.

12. 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 Course 3 8-6 Applications of Percents Think: $960 is 12% of what number? Solve by equation: 960 = 0.12  sLet s = total sales. 960 0.12 = s Divide each side by 0.12. The associate’s sales in May were $8000.

13. A sales associate earned $770 in commission in May. If his commission is 7% of sales, how much were his sales in May? Try This: Example 4 Course 3 8-6 Applications of Percents Think: $770 is 7% of what number? Solve by equation: 770 = 0.07  sLet s represent total sales. 770 0.07 = s Divide each side by 0.07. The associate’s sales in May were $11,000.

14. Homework p426: 1,2,5,6,15