## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.2 - Percents and Problem Solving - Problem Set 4.2 - Page 156: 46

#### Answer

The percent change in her hourly rate is -15%. It is a percent decrease, which means her salary decreased by 15%.

#### Work Step by Step

Her previous job paid 12.00 dollars per hour. Her new job pays 10.20 dollars per hour. To find the percent change, we use the following formula: percent change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The original salary was 12.00 dollars per hour. The new salary is 10.20 dollars per hour. Substituting these values into the formula yields percent change = $\frac{10.20\ -\ 12.00}{12.00}$ $\times$ 100% percent change = $\frac{-1.80}{12.00}$ $\times$ 100% percent change = -0.15 $\times$ 100% percent change = -15% Because the percent of change is a negative number, it is a percent decrease.

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