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

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

Chapter 4 - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 147: 51

Answer

$f(t) =12\cdot (0.940)^{t} $ $a= 12$, $b= 0.940$

Work Step by Step

Given $$f(t) = \frac{60}{5\cdot 2^{t/11.2}} $$ Rearrange the function to get it in standard form. \begin{equation} \begin{aligned} f(t)&= \frac{60}{5\cdot 2^{t/11.2}}\\ &= \frac{60}{5}\cdot (2^{-1/11.2})^t\\ &= 12\cdot (0.940)^{t}\\ \end{aligned} \end{equation}
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