Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 5 - Exponential Functions - 5.5 Exponential Growth and Decay Rates and Compounding Interest - 5.5 Exercises - Page 469: 9

Answer

$64\%$ decay.

Work Step by Step

Growth or decay rate $r=b-1$ where $r$ is a percentage written as a decimal and $b$ is the base of an exponential function of the form $f(x)=a\cdot b^{x}$. Given $f(x)=750(0.36)^{x}$ $\implies b=0.36$ $r=b-1=0.36-1=-0.64$ Or $r=-0.64\times100 \%=-64\% $ $r$ is negative. So, there is $64\%$ decay.
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