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 155: 33


The percent change in his rent is +34%, so it is a percent increase.

Work Step by Step

At the beginning, Caleb pays 400 dollars. After a roommate leaves, Caleb will pay 536 dollars. To find the percentage change in his rent, we use the following formula: Percent change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The original amount is 400, and the new one is 536. We substitute these values into the formula to obtain: Percentage change = $\frac{536\ -\ 400}{400}$ $\times$ 100% Percentage change = $\frac{136}{400}$ $\times$ 100% Percentage change = 0.34 $\times$ 100% Percentage change = 34%
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