8-6 applications of percents course 3 warm up warm up problem of the day problem of the day lesson...
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Warm UpEstimate.
1. 20% of 602
2. 133 out of 264
3. 151% of 78
4. 0.28 out of 0.95
120
50%
120
Course 3
8-6 Applications of Percents
30%
Possible answers:
Problem of the Day
What is the percent discount on a purchase of three shirts if you take advantage of the shirt sale?
All Shirts on Sale!Buy 2—Get the Third for Half Price!
Course 3
8-6 Applications of Percents
16 %2
3
Vocabulary
commissioncommission ratesales taxwithholding tax
Insert Lesson Title Here
Course 3
8-6 Applications of Percents
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 rate sales = commission
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 = c commission rate sales = commission
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.
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 = c commission rate sales = commission
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.
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.
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
$70.27 Total Price
0.0675 70.27 = 4.743225 Convert tax rate to a decimal and multiply by the total price.
Adrian would pay $4.74 in sales tax.
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.
Course 3
8-6 Applications of Percents
A tax deducted from a person’s earnings as an advance payment of income tax is called withholding tax.
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 Tax Withheld
Course 3
8-6 Applications of Percents
Think: What percent of $1500 is $114.75?
Solve by proportion:
114.75 1500
n100
=
n 1500 = 100 114.75 Find the cross products.
Additional Example 3 Continued
Course 3
8-6 Applications of Percents
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.
BJ earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax?
Try This: Example 3
Course 3
8-6 Applications of Percents
Think: What percent of $2500 is $500?
Solve by proportion:
500 2500
n100
=
n 2500 = 100 500 Find the cross products.
Try This: Example 3 Continued
Course 3
8-6 Applications of Percents
n = 20
20% of BJ’s earnings are withheld for income tax.
50000 2500
n =
2500n = 50,000 Divide both sides by 2500.
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 s Let s = total sales.
9600.12
= s Divide each side by 0.12.
The associate’s sales in May were $8000.
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 s Let s represent total sales.
7700.07
= s Divide each side by 0.07.
The associate’s sales in May were $11,000.
Lesson Quiz: Part 1
1. The lunch bill was $8, and you want to leave a 15% tip. How much should you tip?
2. The sales tax is 5.75%, and the shirt costs $20. What is the total cost of the shirt?
3. As of 2001, the minimum hourly wage was $5.15. Congress proposed to increase it to $6.15 per hour. To the nearest percent, what is the proposed percent increase in the minimum wage?
$21.15
$1.20
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Course 3
8-6 Applications of Percents
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