Chapter SH, Problem 7.6.10EP

To determine

To calculate:To find the percent of change and round to the nearest tenth, if necessary. Also, state whether the change is a percent of increase or percent of decrease

Answer to Problem 7.6.10EP

Percent of change $0.75\%$ and the change of percent of increase.

Explanation of Solution

Given information:from $\$836$ to $\$842.27$

Formula used:

Percent of change is calculated as

  $\%change=\left|\frac{Originalnumber-Newnumber}{Originalnumber}\right|\times 100$

Calculation:

Original number $=\$836$

New number $=\$842.27$

Percent of change is calculated as

  $\begin{array}{l}\%change=\left|\frac{836-842.27}{836}\right|\times 100\\ \%change=\frac{6.27}{836}\times 100\\ \%change=0.0075\times 100\\ \%change=0.75\%\end{array}$

Since original number is smaller than new number

Then, % change is percent of increase

Conclusion:

Percent of change $0.75\%$ and the change of percent of increase.