# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.2 - Percents and Problem Solving - Problem Set 4.2 - Page 156: 41

The percentage change in the number of parking spaces is 32%. Because the percent of change is a positive number, it is a percent increase.

#### Work Step by Step

The number of parking spaces changed from 8400 spaces to 11088 spaces. To find the percentage change, we use the following formula: percentage change= $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The number of parking spaces was 8400, and the ending number of spaces became 11088. Substitute these values into the formula: percentage change = $\frac{11088\ -\ 8400}{8400}$ $\times$ 100% percentage change = $\frac{2688}{8400}$ $\times$ 100% percentage change = 0.32 $\times$ 100% percentage change = 32% The percentage change in the number of parking spaces is 32%. Because the percentage change is a positive number, it is a percent increase.

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