Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - Review Exercises and Problems for Chapter Four - Page 179: 51

Answer

$ s(w)=(v-4 t+k v) \cdot \quad j^w $

Work Step by Step

We know that $w$, is the independent variable,and is in the exponent, so this can not be a linear function. It must an exponential function. We want to write it in the form $s(w)=a b^w$ : $$ \begin{aligned} s(w) & =v j^w-4 t j^w+k v j^w \\ & =\underbrace{(v-4 t+k v)}_a \cdot \underbrace{j^w}_{b^w}, \end{aligned} $$ So $$ a=v-4 t+k v, b=j \text {. } $$
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