Chapter 8.3, Problem 38E

To determine

To identify:

The percent of change as an increaseor decrease. Then find the percent of change.

Answer to Problem 38E

The percent of increase would be 30%.

Explanation of Solution

Given:

Original: 40

New: 52

Concept used:

  $\text{Percent change}=\frac{\text{New}-\text{Original}}{\text{Original}}\times 100\%$

Calculation:

Since new amount is greater than original amount, therefore, the percent of change would be an increase.

Upon substituting our given values in percent change formula, we will get:

  $\begin{array}{l}\text{Percent change}=\frac{\text{New}-\text{Original}}{\text{Original}}\times 100\%\\ \text{Percent change}=\frac{52-40}{40}\times 100\%\\ \text{Percent change}=\frac{12}{40}\times 100\%\\ \text{Percent change}=0.3\times 100\%\\ \text{Percent change}=30\%\end{array}$

Therefore, the percent of change would be 30%.