Big Ideas Math: Modeling Real Life, Grade 7
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Exercise 14 Page 276

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

25 % decrease

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:& $24 New Amount:& $18

We can see that the new amount is greater than the original amount, so the percent change is an increase.

Finding the Percent Change

To determine the percent change p, we can use the following general formula. p % =Amount of increase or decrease/Original amount From the given values, we can see the original amount of dollars was 24 and the new amount of dollars is 18. This is a decrease in the amount. Let's find the amount of decrease. 24- 18= 6 The difference between the original amount and the new amount is 6. Now we can use the formula.
Percent change=Amount of increase/Original amount
Percent change=6/24
Percent change=1/4
Percent change=0.25
Percent change = 25 %
The percent decrease is 25 %.