Chapter 7.6, Problem 8PPS

To determine

ToDetermineThe percent change from $\$36$ to $\$48$ . State whether the percent of change is an increase or decrease.

Answer to Problem 8PPS

The percent of change is $33.3\%$

The percent of change is an increase.

Explanation of Solution

Given:

$\$36$ and $\$48$

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 $\$36$ to $\$48$

  $\begin{array}{c}\text{Percent Change}=\left(\frac{48-36}{36}\right)\times 100\\ =\frac{12}{36}\times 100\\ =\frac{1}{3}\times 100\\ =\frac{100}{3}\end{array}$

$=33.3\%$

Therefore, the percent of change is $33.3\%$

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

Conclusion:

The percent of change is $33.3\%$

The percent of change is an increase.