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 - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 146: 31

Answer

$Q(t) =726\cdot (0.94374)^t$

Work Step by Step

The problem describes an exponential function with the following parameters. \begin{equation} \begin{aligned} a&= 726\\ r&= 5.626\%= 0.05626\\ b&=1-r = 0.94374\\ \end{aligned} \end{equation} Hence, a model of the mass the tritium is \begin{equation} \begin{aligned} Q(t)&= a\cdot b^t\\ &= 726\cdot (0.94374)^t \end{aligned} \end{equation} A graph of the function is given below.
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