8-5 Sales Tax & Discount8-5 Sales Tax & Discount

Indicator (s) N8 Develop and analyze algorithms for computing with percent and demonstrate fluency in use.

Pages 354-357

8-5 Sales Tax8-5 Sales Tax

• Sales tax is an additional amount of money charged on items that people buy.

• Local, state, and federal government receives this money

• The total cost of an item is the regular price PLUS the sales tax (increase in

cost). · Remember- In real life, tax is

always rounded up to the next cent.

How to find sales tax…How to find sales tax…

A set of golf balls sells for $19.98and the sales tax is 5.75%. What is the total cost of the set?

First, find the sales tax.

Next, add the sales tax to the regular price.

Last, write a sentence to answer the question.

The total cost of the golf balls is $21.13.

5.75% of 19.98= 0.0575 · 19.98=

Sales tax = 1.15

1.15 + 19.98= 21.13

8-5 Discount (part 1)

• You are buying a hoodie that has a price of $39.60. Aeropostle is having a 33% off sale (discount). What is the cost of the hoodie? – Find 33% of $39.60. – Round to the nearest cent. – Subtract the discount from the original price.

– Write a sentence.

0.33 × 39.60 = 13.068

$13.07

$39.60 – 13.07 = $26.53

The hoodie will cost $26.53 after the 33% discount.

8-5 Discount8-5 Discount

• Is the amount by which the regular price of an item is reduced.

• The sale price is the regular price MINUS the discount (decrease in cost).

• Once you have found the discount, make sure that you change the decimal to a percent.

How to find percent of discount…How to find percent of discount…

A sports watch with an original price of $86 is on sale for $60.20. What is the percent of discount?

First, find the AMOUNT of discount (original – sale).

86 – 60.20 = 25.80

(This is the same as finding the percent decrease.)

Words

Variable

Equation

Solve

Final Answer

$25.80 is what percent of $86?

Let p represent the percent.

25.80 = p ·86

25.80 = p · 86 86 86 = 0.3 = p

Don’t forget to change the decimal to a percent.

The percent of discount is 30%.

Next, use the percent equation to find the percent discount.

Multi-step

• Think back to the hoodie that you were buying from Aeropostle...

• The price of the hoodie is $39.60.

• The discount is 33% off.

• Now, let’s figure the total cost after sales tax…

• 6.5% Sales Tax

• Find 6.5% of 26.53.

• Round to the nearest cent.

• Add the sales tax to the Sale Price.

We found that the hoodie will cost $26.53 after the 33% discount.

0.065 × 26.53= 1.72445

$1.72

$1.72 + 26.53 = $28.25

Homework

• 8-5

• P. 356-357

• #17-42 all, omit 30