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

Published by Wiley

# Chapter 5 - Logarithmic Functions - 5.2 Logarithms and Exponential Models - Exercises and Problems for Section 5.2 - Exercises and Problems - Page 200: 4

#### Answer

$Q=1 \cdot(0.9802)^t$

#### Work Step by Step

Using the fact that $(a^m)^n=a^{mn}$, the equation can be rewritten as $$Q=(e^{-0.02})^t$$ Evaluating $e^{-0.02}$ yields $0.9802$. Therefore, the equation can be written as $Q=1 \cdot (0.9802)^t$

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