Chapter 7.6, Problem 2CYU

To determine

The percent change from $56$ inches to $63$ inches. State whether the percent of change is an increase or decrease.

Answer to Problem 2CYU

The percent of change is $12.5\%$ .

The percent of change is an increase.

Explanation of Solution

Given:

The inches, $56$ inches and $63$ inches

Concept Used:

The percent of change from $a$ to $b$ is defined as

  $\text{Percent Change}=\left(\frac{b-a}{a}\right)\times 100$

Calculation:

The percent of change from $a$ to $b$ is defined as

  $\text{Percent Change}=\left(\frac{b-a}{a}\right)\times 100$

Therefore, from $56$ inches to $63$ inches

  $\begin{array}{c}\text{Percent Change}=\left(\frac{63-56}{56}\right)\times 100\\ =\frac{7}{56}\times 100\\ =\frac{1}{8}\times 100\\ =\frac{1}{2}\times 25\\ =12.5\%\end{array}$

Therefore, the percent of change is $12.5\%$ .

Since, percent of change is positive. Therefore, the percent of change is an increase.

Conclusion:

The percent of change is $12.5\%$ .

The percent of change is an increase.