Chapter 7.6, Problem 14PPS

To determine

ToDetermineThe percent change from $150$ minutes to $172$ minutes. State whether the percent of change is an increase or decrease.

Answer to Problem 14PPS

The percent of change is $14.7\%$

The percent of change is an increase.

Explanation of Solution

Given:

$150$ minutes and $172$ minutes

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 $150$ minutes to $172$ minutes.

  $\begin{array}{c}\text{Percent Change}=\left(\frac{172-150}{150}\right)\times 100\\ =\frac{22}{150}\times 100\\ =\frac{22}{3}\times 2\\ =\frac{44}{3}\end{array}$

$=14.7\%$

Therefore, the percent of change is $14.7\%$

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

Conclusion:

The percent of change is $14.7\%$

The percent of change is an increase.