Answer
$ f(t)= 5e^{t \ln 7}$, $ P_0=5$ and $ k=\ln 7$.
Work Step by Step
Using the property that $ x=e^{\ln x}$, we have
$$ f(t)=5 (e^{\ln 7})^t=5e^{t \ln 7}.$$
Hence, $ P_0=5$ and $ k=\ln 7$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.4 Exponential Growth and Decay - Exercises - Page 349: 3
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