Answer
$f(x)=500(2)^{x}$
Work Step by Step
When $x$ increases by $1,\quad f(x)$ is doubled (multiplied by $2.$)
$\Rightarrow b=2$
$f(0)=500$
$Ab^{0}=500\Rightarrow \quad A=500$
Thus,
$f(x)=500(2)^{x}$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
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: 48
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