Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Percents of Increase and Decrease
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Exercise 7 Page 255

Is the value of the new amount greater than or less than the value of the original amount?

Decrease, 30 %

Practice makes perfect

We want to tell whether each percent change is an increase or decrease. Then, we want to find the percent change. Let's do it one at a time.

Percent Increase or Percent Decrease

Recall that if a new amount is greater than the original amount, the percent change is called a percent increase. If the new amount is less than the original amount, the percent change is called a percent decrease. Consider the given amounts. Original Amount:&300 mi New Amount:&210 miWe can see that the new amount is less than the original amount, so the percent change is a decrease.

Finding the Percent Change

To determine the percent change p, we can use the following general formula. p % =Amount of change/Original amount From the given values, we can see the original amount was 300 and the new amount is 210. This is a decrease in the amount. Let's find the amount of decrease. 300- 210= 90 The difference between the original amount and the new amount is 90. Now we can use the formula.

Percent of change=Amount of decrease/Original amount
Percent of change=90/300
Percent of change=3/10
Percent of change=0.3
Percent of change = 30 %

The percent decrease is 30 %.