Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.2 - Percents and Problem Solving - Problem Set 4.2 - Page 156: 44


The percentage change in the number of foreclosed homes is -20%. It is a percent decrease.

Work Step by Step

In 2013, 120 homes were in foreclosure. In 2012, 150 homes were in foreclosure. To find the percentage change, we use the following formula: percentage change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The original amount is 150. The new amount is 120. Substituting these values into the formula yields: percentage change = $\frac{120\ -\ 150}{150}$ $\times$ 100% percentage change = $\frac{-30}{150}$ $\times$ 100% percentage change = -0.2 $\times$ 100% percentage change = -20% Because the percentage change is a negative number, it is a percent decrease.
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