Exercise 24 Page 166

Let's start by recalling that a percent of change is a ratio that compares the change in quantity to the original amount. If the original quantity is increased, then it is called a percent of increase. If the original quantity is decreased, then it is called a percent of decrease. To determine the percent of change, we can use the following formula. Percent of change =Amount of change/Original amount In this case, the original quantity is 60 inches, and the new quantity is 38 inches. We can find the amount of change by subtracting the less value from the greater one. Amount of change = 60in. - 38in. = 22in. Now let's use the formula to find the percent of change. To make the math easier, we can ignore the units for now.

Percent of change=Amount of change/Original amount

SubstituteII

Amount of change= 22, Original amount= 60

Percent of change=22/60

UseCalc

Use a calculator

Percent of change=0.366666...

RoundDec

Round to 2 decimal place(s)

Percent of change ≈ 0.37

To write the decimal as a percent, we need to move the decimal point two places to the right and write the percent symbol.

Percent of change ≈ 0.37

WritePercent

Convert to percent

Percent of change ≈ 37 %

We found that the percent of change is about 37 %. Finally, let's state whether the percent of change is an increase or a decrease. To do so, we need to compare the original quantity with the new quantity. ccc Original quantity & & New quantity [0.5em] 60in. & > & 38in. Since the new quantity is less than the original quantity, this is a percent of decrease.