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: 53

Answer

$f(x)=-100(1.1)^{x}$

Work Step by Step

Increasing x by 1 (fr$\quad$om 1 to 2) , f(1) is multiplied by $\displaystyle \frac{-121}{-110}=1.1$ . So, $ b=1.1,\qquad$and$ f(x)=A(1.1)^{x}$ Now, given that $f(1)=-110,$ $-110=A(1.1)^{1}$ $\displaystyle \frac{-110}{1.1}=A$ $A=-100$ Thus, $f(x)=-100(1.1)^{x}.$
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