## 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: 34

#### Answer

The percentage change in her monthly car insurance bill is +42%, so it is a percent increase.

#### Work Step by Step

At the beginning, Kari was paying 84.00 dollars a month for car insurance. After she had an accident, her monthly insurance cost became 119.28 dollars. To find the percentage change, we use the following formula: percentage change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The original amount is 84.00, and the new amount is 119.28. We substitute these values into the formula to obtain: percentage change = $\frac{119.28\ -\ 84.00}{84.00}$ $\times$ 100% percentage change = $\frac{35.28}{84.00}$ $\times$ 100% percentage change = 0.42 $\times$ 100% percentage change = 42%

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