Chapter 2.10, Problem 20P

Find the percent change. Round to the nearest percent.

$76\text{ft}$ to $58\frac{1}{2}\text{ft}$

To determine

To find: the percent change.

Answer to Problem 20P

23%

Explanation of Solution

Given information: 76 ft to $58\frac{1}{2}$ ft

Calculation:

Original value=76

New value= $58\frac{1}{2}$ = $\frac{117}{2}$

The percent change is

  $\begin{array}{l}\%change=\frac{\left|newvalue-oldvalue\right|}{original}\times 100\\ \%change=\frac{\left|\frac{117}{2}-76\right|}{76}\times 100\\ \%change=\frac{\frac{35}{2}}{76}\times 100=\frac{35}{152}\times 100\approx 23\%\end{array}$

Thus, percent increase is 23%.