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: 6

Answer

$375\%$ growth.

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 $g(x)=a\cdot b^{x}$. Given $g(x)=7(4.75)^{x}$ $\implies b=4.75$ $r=b-1=4.75-1=3.75$ Or $r=3.75\times100 \%=375\% $ $r$ is positive. So, there is $375\%$ growth.
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