Percent of Change – the ratio of the change in an amount to the original amount expressed as a...

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2-7 Percent of Change Goals: Find the percent of change. Solve problems involving percent of change. Eligible Content: A1.1.2.1.1 / A1.1.2.1.3

Transcript of Percent of Change – the ratio of the change in an amount to the original amount expressed as a...

Page 1: Percent of Change – the ratio of the change in an amount to the original amount expressed as a percent.  Percent of Increase – the new number is greater.

2-7 Percent of Change

Goals:• Find the percent of change.• Solve problems involving percent of change.

Eligible Content:A1.1.2.1.1 / A1.1.2.1.3

Page 2: Percent of Change – the ratio of the change in an amount to the original amount expressed as a percent.  Percent of Increase – the new number is greater.

Vocabulary Percent of Change – the ratio of the

change in an amount to the original amount expressed as a percent.

Percent of Increase – the new number is greater than the original number.

Percent of Decrease – the new number is less than the original number.

Page 3: Percent of Change – the ratio of the change in an amount to the original amount expressed as a percent.  Percent of Increase – the new number is greater.

To Find Percent of Change:1. Decide if there is an increase or

decrease.

2. Subtract the original amount and the new amount.

3. Divide by the original amount.

4. Turn your answer into a percent.

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Determine whether the change is an increase or a decrease and find the percent of change.

Original amount: 20New amount: 9

The amount went down so it is a decrease.20 - 9 = 11

11 ÷ 20 = 0.5555% decrease

Page 5: Percent of Change – the ratio of the change in an amount to the original amount expressed as a percent.  Percent of Increase – the new number is greater.

ExamplesDetermine whether the change is an increase or a decrease and find the percent of change.1. Original: 20 New: 23

15% increase

2. Original: 25 New: 1732% decrease

3. Original: 32 New: 4025% increase

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A. increase of 10%

B. decrease of 10%

C. increase of 90%

D. decrease of 90%

Determine whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change.

original: 20new: 18

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A. increase of 300%

B. decrease of 300%

C. increase of 25%

D. decrease of 25%

Determine whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change.

original: 12new: 48

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Practice

Page 121 #1-4

Page 9: Percent of Change – the ratio of the change in an amount to the original amount expressed as a percent.  Percent of Increase – the new number is greater.

Word Problems 1. How much tax will you pay on a pair of

shoes that cost $36 if the tax rate is 6%?

$2.16

2. If a salesperson earns 30% commission on all sales, how much will he earn for a sale of $4500?

$1350

3. What will the total cost be for a purchase of $54, if you have to pay 7% sales tax?

$57.78

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Word Problems4. Tyrell qualifies for a 20% discount on

his car insurance. If his payment is $85 without a discount, what will his new payment be?

$68

5. A dog toy is on sale for 20% off the original price. If the original price is $3.80, what is the discounted price?

$3.04

Page 11: Percent of Change – the ratio of the change in an amount to the original amount expressed as a percent.  Percent of Increase – the new number is greater.

A. $64.27

B. $100.00

C. $76.74

D. $74.71

A portable CD player costs $69.99. If the sales tax is 6.75%, what is the total price of the CD player?

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A. $9.99

B. $4.99

C. $16.99

D. $34.99

A baseball cap is on sale for 15% off the original price. If the original price of the cap is $19.99, what is the discounted price?

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Practice

Page 121 #6-13

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Homework

Page 122 #14-20 even #24-38 even