chapter 8 percent notation slide 2copyright 2012, 2008, 2004, 2000 pearson education, inc....

CHAPTER

8Percent Notation

Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

8.1 Percent Notation8.2 Solving Percent Problems Using Percent

Equations8.3 Solving Percent Problems Using Proportions8.4 Applications of Percent8.5 Percent of Increase or Decrease8.6 Sales Tax, Commission, and Discount8.7 Simple Interest and Compound Interest; Credit

Cards

OBJECTIVES

8.6 Sales Tax, Commission, and Discount

Slide 3Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

a Solve applied problems involving sales tax and percent.

b Solve applied problems involving commission andpercent.

c Solve applied problems involving discount andpercent.

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

Slide 4Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

Sales tax computations represent a special type of percent of increase problem.

8.6 Sales Tax, Commission, and Discount

SALES TAX

Slide 5Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

1 Wisconsin Sales Tax.

Slide 6Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

The sales tax rate in Wisconsin is 5%. How much tax is charged on the purchase of 3 gal of paint at $42.99 each? What is the total price?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

1 Wisconsin Sales Tax.

Slide 7Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

1 Wisconsin Sales Tax.

Slide 8Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

To check, note that the total price is the purchase price plus 5% of the purchase price. Thus, the total price is 105% of the purchase price. Since we have a check. The sales tax is $6.45, and the total price is $135.42.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

2

Slide 9Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

The sales tax on the purchase of this GPS navigator, which costs $799, is $55.93. What is the sales tax rate?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

2

Slide 10Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

3

Slide 11Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

The sales tax on the purchase of a stone-top firepit is $12.74 and the sales tax rate is 8%. Find the purchase price (the price before taxes are added).

EXAMPLE

8.6 Sales Tax, Commission, and Discount

a Solve applied problems involving sales tax and percent.

3

Slide 12Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

8.6 Sales Tax, Commission, and Discount

b Solve applied problems involving commission andpercent.

Slide 13Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

When you work for a salary, you receive the same amount of money each week or month. When you work for a commission, you are paid a percentage of the total sales for which you are responsible.

8.6 Sales Tax, Commission, and Discount

COMMISSION

Slide 14Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

b Solve applied problems involving commission andpercent.

4 Appliance Sales.

Slide 15Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

A salesperson’s commission rate is 3%. What is the commission from the sale of $8300 worth of appliances?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

b Solve applied problems involving commission andpercent.

5 Earth-Moving Equipment Sales.

Slide 16Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

Gavin earns a commission of $20,800 selling $320,000 worth of earth-moving equipment. What is the commission rate?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

b Solve applied problems involving commission andpercent.

5 Earth-Moving Equipment Sales.

Slide 17Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

b Solve applied problems involving commission andpercent.

6 Cruise Vacations.

Slide 18Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

Mia’s commission rate is 5.6%. She received a commission of $2457 on cruise vacation packages that she sold in November. How many dollars’ worth of cruise vacations did she sell?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

b Solve applied problems involving commission andpercent.

6 Cruise Vacations.

Slide 19Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

8.6 Sales Tax, Commission, and Discount

c Solve applied problems involving discount andpercent.

Slide 20Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

Suppose that the regular price of a rug is $60, and the rug is on sale at 25% off. Since 25% of $60 is $15, the sale price is $60 – $15, or $45. We call $60 the original, or marked, price, 25% the rate of discount, $15 the discount, and $45 the sale price. Note that discount problems are a type of percent of decrease problem.

8.6 Sales Tax, Commission, and Discount

DISCOUNT AND SALE PRICE

Slide 21Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

c Solve applied problems involving discount andpercent.

7

Slide 22Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

A leather sofa marked $2379 is on sale at off. What is (a) the discount? (b) the sale price?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

c Solve applied problems involving discount andpercent.

7

Slide 23Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

c Solve applied problems involving discount andpercent.

8

Slide 24Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

The price of a snowblower is marked down from $950 to$779. What is the rate of discount?

EXAMPLE

8.6 Sales Tax, Commission, and Discount

c Solve applied problems involving discount andpercent.

8

Slide 25Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

We first find the discount by subtracting the sale price from the original price:

The discount is $171.

EXAMPLE

8.6 Sales Tax, Commission, and Discount

c Solve applied problems involving discount andpercent.

8

Slide 26Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.