Finite Math and Applied Calculus (6th Edition)

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

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 657: 28

Answer

$2.1*0.9048^x$, which is in the required form of the function. $A=2.1$ and $b=0.9048$

Work Step by Step

We can convert the general function of: $f(x)=c*e^{d*x}$ as: $f(x)=f*g^x$ In the exercise, we have: $f(x)=2.1*e^{-0.1x}=2.1*(e^{-0.1})^x$ Which gives us: $2.1*0.9048^x$, which is in the required form of the function. $A=2.1$ and $b=0.9048$
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