Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Circles and Circumference
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Exercise 3 Page 366

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

A

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:&24 New Amount:& 18

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

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 was 24 and the new amount is 18. This is an decrease in the amount. Let's find the amount of decrease. 24- 18= 6 The difference between the new amount and the original amount is 6. Now we can use the formula.
Percent change=Amount of decrease/Original amount
Percent change=6/24
Percent change=1/4
Percent change=0.25
Percent change = 25 %
The percent decrease is 25 %. This corresponds to option A.