## Elementary Algebra

Published by Cengage Learning

# Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.2 - Percents and Problem Solving - Problem Set 4.2: 40

#### Answer

The percentage change for the price of the access code is -20%. The price of the access code falls by 20%.

#### Work Step by Step

To find the percentage change, we use the following formula: percentage change = $\frac{New\ amount\ -\ Original\ amount}{Original\ amount}$ $\times$ 100% The original price of the access code was 60 dollars. The new price became 48 dollars. We substitute these values in the formula to obtain: percentage change = $\frac{48\ -\ 60}{60}$ $\times$ 100% percentage change = $\frac{-12}{60}$ $\times$ 100% percentage change = -0.2 $\times$ 100% percentage change = -20% Because the percentage change is a negative number, it is a percent decrease.

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