## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.2 - Percents and Problem Solving - Problem Set 4.2 - Page 155: 36

#### Answer

The percentage change for the number of questions between the chapter tests and the final exam is +55%, so this is a percent increase.

#### Work Step by Step

There are 40 questions on each chapter test, and there are 62 questions on the final exam. To find the percentage change for the number of questions between the chapter tests and the final exam, we use the following formula: percentage change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100%. The original amount is 40, and the new amount is 62. We substitute these numbers in the formula to obtain: percentage change = $\frac{62\ -\ 40}{40}$ $\times$ 100% percentage change= $\frac{22}{40}$ $\times$ 100% percentage change = 0.55 $\times$ 100% percentage change = 55%

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