Chapter 7, Problem 23CT

To determine

To Calculate: The percent of change as an increase or decrease.

Answer to Problem 23CT

The percent of change is an increase of $37.5\%$ .

Explanation of Solution

Given Information: Original amount is $128$ and the new amount is $176$ .

Formula Used:$Percentofchange,p\%=\frac{Amountofincreaseordecrease}{OriginalAmount}$

The new amount $176$ is greater than the original amount $128$ .

So, the amount of increase is $176-128=48$ .

Therefore, percent of increase (as a decimal) $=\frac{48}{128}=0.375$

To write the decimal $0.375$ as a percent, move the decimal point $2$ places to the right and suffix a $\%$ sign.

So, write $0.375$ as $37.5\%.$

Therefore, the percent change is an increase of $37.5\%$ .