Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.2 - Exponential Functions and Models - Exercises - Page 643: 51

Answer

$f(x)=500(0.45)^{x}$

Work Step by Step

$\displaystyle \frac{225}{500}=0.45,\qquad \frac{101.25}{225}=0.45$ When $x$ increases by $1,\quad f(x)$ is multiplied by $0.45$ $\Rightarrow b=0.45$ $f(0)=Ab^{0}=500\Rightarrow \quad A=500$ Thus, $f(x)=500(0.45)^{x}$
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