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Text p. 245, #1-6Text p. 245, #1-6

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In your journal, answer the following question. Give 4 examples in real-life (besides math class) where you use percents. Write and solve a real-life percent problem that you have encountered. .

HomeworkHomeworkText p. 245, #1-6Text p. 245, #1-6

1) Yes1) Yes2) 7.5 h2) 7.5 h3) about $40; $39.253) about $40; $39.254) No; $7.42 is 37.1% of Marcus’ 4) No; $7.42 is 37.1% of Marcus’

allowanceallowance5) $7,8725) $7,8726) No; 6 out of 41 students is only about 6) No; 6 out of 41 students is only about

14.6% of the students14.6% of the students

ObjectiveObjective SWBAT find, commission, sales tax, and SWBAT find, commission, sales tax, and

percent of earnings, discounts, markups percent of earnings, discounts, markups

Section 6.5 “Percent Applications”Section 6.5 “Percent Applications”Percents can be applied to many Percents can be applied to many

everyday ordinary activities: everyday ordinary activities:

1) commission1) commission

2) tips2) tips

3) sales tax3) sales tax

4) percent of earnings4) percent of earnings

5) revenue and profit5) revenue and profit

6) manufacturer price and markups6) manufacturer price and markups

7) sale price and discounts7) sale price and discounts

CommissionCommission

Car salesmanCar salesman

Real-estate agentReal-estate agent

Stock/bond brokerStock/bond broker

Furniture salesmanFurniture salesman

Insurance salesmanInsurance salesman

a fee paid to a person a fee paid to a person who makes a salewho makes a sale

CommissionCommission == Commission Commission raterate

(percentage)(percentage)

x x SalesSales

100

ratecommission

sales

commission

Finding a CommissionFinding a CommissionA real-estate agent is paid a monthly salary of $900 plus A real-estate agent is paid a monthly salary of $900 plus commission. Last month she sold one apartment for commission. Last month she sold one apartment for $65,000 earning 4% commission on the sale. How much $65,000 earning 4% commission on the sale. How much was her commission? was her commission?

CommissionCommission == Commission Commission raterate

x x SalesSales

== 4%4% x x

== $2,600$2,600

+ + $900$900== $2,600$2,600

What is 4% of $65,000?

100

4

000,65

a $65,000$65,000 or

TotalTotal == CommissionCommission + + SalarySalary

== $3,500$3,500

How much money did she make How much money did she make in total for the month?in total for the month?

Finding a CommissionFinding a CommissionLarry is paid a monthly salary of $2,100 plus commissions. Larry is paid a monthly salary of $2,100 plus commissions. Last month he sold one car for $39,500, earning 3% Last month he sold one car for $39,500, earning 3% commission on the sale. How much was his commission. commission on the sale. How much was his commission. What was his total pay for the month?What was his total pay for the month?

CommissionCommission == Commission Commission raterate

x x SalesSales

== 3%3% x x

== $1,185$1,185

+ + $2,100$2,100== $1,185$1,185

What is 3% of $39,500?

100

3

500,39

a $39,500$39,500 or

TotalTotal == CommissionCommission + + SalarySalary

== $3,285$3,285

TipsTips

TIPSTIPS are calculated using a percent of are calculated using a percent of the purchase price. TIPS are calculated ONLY the purchase price. TIPS are calculated ONLY on the food or service bill. Do not include on the food or service bill. Do not include sales tax when finding a tip. sales tax when finding a tip.

TipTip == Tip %Tip % x x SalesSales

100

ratetip

bill

tip

Sales TaxSales Tax

SALES TAXSALES TAX is calculated using a percent is calculated using a percent of the purchase price. of the purchase price.

Sales TaxSales Tax == Tax rateTax rate x x Purchase pricePurchase price

100

ratetax

price

taxsales

Sales Tax and TipsSales Tax and TipsThe bill for your restaurant meal is $22. You The bill for your restaurant meal is $22. You

leave a 15% tip and the sales tax is 6%. How much of a leave a 15% tip and the sales tax is 6%. How much of a tip did you leave the waitress? What is the total cost of tip did you leave the waitress? What is the total cost of your meal?your meal?

100

15

22

tip

= 15% x = 15% x 22 22

== $22$22 + + $1.32$1.32== $26.62$26.62

Total costTotal cost == Food billFood bill + + Sales taxSales tax + + TipTip

+ + $3.30$3.30

Sales TaxSales Tax == Tax rateTax rate x x PricePrice

TipTip == Tip %Tip % x x SalesSales

= 6% x = 6% x 22 22100

6

22

taxsales

Sales TaxSales TaxIf the sales tax rate is 7.75%, how much tax would If the sales tax rate is 7.75%, how much tax would

Melanie pay if she bought a DVD player for $145.80 and Melanie pay if she bought a DVD player for $145.80 and two DVDs for $15.99 each?two DVDs for $15.99 each?

DVD player = $145.80DVD player = $145.80

2 DVDs @ $15.99 = $31.982 DVDs @ $15.99 = $31.98

== $13.78$13.78

Sales TaxSales Tax == Tax rateTax rate x x PricePrice

= 0.0775 x = 0.0775 x $177.78 $177.78100

75.7

78.177

taxsales

Percent of EarningsPercent of Earnings

Jorge earns $36,000 yearly. Of that, he Jorge earns $36,000 yearly. Of that, he pays $12,240 for rent. What percent of Jorge’s pays $12,240 for rent. What percent of Jorge’s earnings goes to rent? earnings goes to rent?

$12,240 is what percent of $36,000?

100000,36

240,12 p

34% of Jorge’s earnings goes to rent.

Revenue and ProfitRevenue and Profit

Students wash cars to raise funds for class Students wash cars to raise funds for class trips. The class made a profit of $326.60 from trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its last Saturday’s car wash, which was 92% of its revenue. How much was the revenue for the car revenue. How much was the revenue for the car wash? wash?

$326.60 is 92% of what number?

100

9260.326

b

The revenue for the car wash was $355.

Shopping and Business Shopping and Business ApplicationsApplications

ManufacturerManufacturerPricePrice

SaleSale

PricePriceOriginalOriginalPricePrice

RetailRetail

PricePriceDiscountDiscount

MarkupMarkup

MarkupsMarkupsModell’s buys Nike brand sneakers from the Nike Modell’s buys Nike brand sneakers from the Nike

manufacturer for $40. Modell’s then increases the price by manufacturer for $40. Modell’s then increases the price by 150%. What is the retail price?150%. What is the retail price?

Retail priceRetail price == Manufacturer / Manufacturer / Wholesale Wholesale priceprice

+ + Amount of Amount of IncreaseIncrease

== 4040 + +

== 4040 + + 6060

== $100$100

What is 150% of 40?

100

150

40

aor or (150% (150% ∙ ∙ 40)40)

also known as a also known as a

““MARKUP”MARKUP”

You buy a shirt that is on sale for 15% off You buy a shirt that is on sale for 15% off the original price of $25. What is the sale price?the original price of $25. What is the sale price?

== 2525 – – or (15% or (15% · 25)· 25)

== 2525 – – 3.753.75

== $21.25$21.25

Sale priceSale price ==Original Original priceprice – – Amount of Amount of

decreasedecrease

DiscountsDiscounts

also known as a also known as a

““DISCOUNT”DISCOUNT”

What is 15% of 25?

100

15

25

a

MarkupsMarkupsWinter Wonders buys snow globes from a Winter Wonders buys snow globes from a

manufacturer for $9.20 each sells them at a 95% increase in manufacturer for $9.20 each sells them at a 95% increase in price. What is the retail price?price. What is the retail price?

Retail priceRetail price == Manufacturer / Manufacturer / Wholesale Wholesale priceprice

+ + Amount of Amount of IncreaseIncrease

== 9.209.20 + +

== 9.209.20 + + 8.748.74

== $17.94$17.94

What is 95% of $9.20?

100

95

2.9

aor or (95% (95% ∙ $9.2∙ $9.20)0)

also known as a also known as a

““MARKUP”MARKUP”

The regular price of an MP3 player is The regular price of an MP3 player is $79.99. This week the MP3 player is on sale $79.99. This week the MP3 player is on sale 25% off. What is the sale price?25% off. What is the sale price?

== 79.9979.99 – – or (25% or (25% · 79.99)· 79.99)

== 79.9979.99 – –

== $59.99$59.99

Sale priceSale price ==Original Original priceprice – – Amount of Amount of

decreasedecrease

DiscountsDiscounts

also known as a also known as a

““DISCOUNT”DISCOUNT”

What is 25% of 79.99?

100

25

99.79

a

$20.00$20.00

Using a Percent of ChangeUsing a Percent of Change

There were about 198,000 spectators at There were about 198,000 spectators at the NCAA Final Four in 1995. The number of the NCAA Final Four in 1995. The number of spectators increased by about 12% from 1995 to spectators increased by about 12% from 1995 to 2002. About how many spectators were there in 2002. About how many spectators were there in 2002? 2002?

Spectators in 2002 = Spectators in 1995 + Amount of increase

= 198,000 + (12% · 198,000)

= 198,000 + 23,760

= 221,760

Using a Percent of ChangeUsing a Percent of Change

In 1983, the average price of CD was In 1983, the average price of CD was $21.50. By 2000, the average price had $21.50. By 2000, the average price had decreased by 34.8%. What was the average decreased by 34.8%. What was the average price of a CD in 2000? price of a CD in 2000?

Price in 2000 = Price in 1983 x Percent of change

= $21.50 x (100% – 34.8%)

= $21.50 x 65.2%

= $14.018 = $14.02

HomeworkHomework Text p. 252, #5-14, 16 & 17Text p. 252, #5-14, 16 & 17

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