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Lesson 3.7- Percent of Change, pg. 160
Goals: To find percents of increase and decrease. To solve problems involving percents of change.
Vocabulary
Percent of change: an increase or decrease 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.
Percent of Change Formula
Percent of Change: difference in the amounts
original amount
Or Percent of change = New value-Original V
Original Value
Multiply the answer by 100 to get the percent of change.
Ex. 1: State whether each percent of change is a percent of decrease or increase. Then find the percent of change.
1. original: 32
new: 40
2. original: 20
new: 4
You TRY!!!!
3. original: 72
new: 36
4. original: 45
new: 50
Ex. 2: Find the missing value.1. The price a used-book store pays to buy
a book is $5. The store sells the book for 28% above the price that it pays for the book. What is the selling price of the $5 book?
Ex. 3: Find the total price of each item.
1. Software: $39.50
Sales tax: 6.5%
2. Compact disc: $15.99
sales tax: 5.75%
Ex. 4: Find the discounted price of each item.
1. jeans: $45.00
discount: 25%
2. book: $19.95
discount: 33%
Ex. 5: Find the final price of each
1. lamp: $120.00
discount: 20%
tax: 6%
2. camera: $58.00
discount: 25%
tax: 6.5%
Application1. In 1987, the United States had 2 million
active-duty military personnel. By 2000, there were only 1.4 million active-duty military personnel. What was the percent of decrease?
2. In order for a food to marked “reduced fat,” it must have at least 25% less fat than the same full-fat food. If one ounce of reduced fat chips has 6 grams of fat, what is the least amount of fat in one ounce of regular chips?