Chapter 6, Problem 30CR

To determine

To state whether the percent of change is an increase or decrease.

Answer to Problem 30CR

Percent decrease 56.36%

Explanation of Solution

Given:

Initial value: 55 lb

New value: 24 lb

Formula used:

  $\begin{array}{l}\%\text{ Increase}=\frac{\text{New value}-\text{Initial value}}{\text{Initial value}}\times 100\\ \%\text{ Decrease}=\frac{\text{Initial value}-\text{New value}}{\text{Initial value}}\times 100\end{array}$

Calculation:

The value is changing from 55 lb to 24 lb.

Therefore, the value is descending from 55 lb to 24 lb.

  $\begin{array}{c}\%\text{ Decrease}=\frac{\text{Initial value}-\text{New value}}{\text{Initial value}}\times 100\\ =\frac{\text{55}-24}{\text{55}}\times 100\\ =\frac{31}{\text{55}}\times 100\\ =56.363\end{array}$

Rounding off to the nearest cent,

  $\%\text{ Decrease}=56.36$

Conclusion:

Therefore, the decrease in percent of 56.36%.