Chapter 7.6, Problem 9PPS

To determine

The percent change from $82$ feet to $74$ feet. State whether the percent of change is an increase or decrease.

Answer to Problem 9PPS

The percent of change is $-9.8\%$ .

The percent of change decrease.

Explanation of Solution

Given:

  $82$ feet and $74$ feet

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 $82$ feet and $74$ feet

  $\begin{array}{c}\text{Percent Change}=\left(\frac{74-82}{82}\right)\times 100\\ =-\frac{8}{82}\times 100\\ =-\frac{4}{41}\times 100\\ =-\frac{400}{41}\\ =-9.8\%\end{array}$

Therefore, the percent of change is $-9.8\%$ .

Since, percent of change is negative. Therefore, the percent of change decrease.

Conclusion:

The percent of change is $-9.8\%$ .

The percent of change decrease.