Chapter 7.6, Problem 10PPS

To determine

The percent change from $16$ kilograms to $5$ kilograms. State whether the percent of change is an increase or decrease.

Answer to Problem 10PPS

The percent of change is $-68.8\%$ .

The percent of change is decrease.

Explanation of Solution

Given:

  $16$ kilograms and $5$ kilograms

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 $16$ kilograms to $5$ kilograms

  $\begin{array}{c}\text{Percent Change}=\left(\frac{5-16}{16}\right)\times 100\\ =-\frac{11}{16}\times 100\\ =-\frac{1100}{16}\\ =-68.8\%\end{array}$

Therefore, the percent of change is $-68.8\%$ .

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

Conclusion:

The percent of change is $-68.8\%$ .

The percent of change is decrease.