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: 47


If she decides to take the new position, the percent of change in her salary will be 8%. It is a percent increase.

Work Step by Step

The teacher originally is making 32,000 a year. If she accepts the job offer, she will earn 2,560 more than she is earning. So, her new salary will become 32,000 + 2,560 = 34,560 dollars per year. To find the percent change, we use the following formula: percent change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The original salary is 32,000 dollars. The new salary is 34,560 dollars. Substituting these values into the formula yields percent change = $\frac{34,560\ -\ 32,000}{32,000}$ $\times$ 100% percent change = $\frac{2,560}{32,000}$ $\times$ 100% percent change = 0.08 $\times$ 100% percent change = 8% Because the percent change is a positive number, it is a percent increase.
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