Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.5 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 508: 67

Answer

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Work Step by Step

Since the weight lifted increased rapidly at the beginning and then levels off, it shows a logistic growth behavior which can be modeled with an equation $W=\frac{c}{1+ae^{-bt}}$. We can obtain the values of $a,b,c$ by using a few data points and solve the equations. It can be seen that when $t\to\infty$, we get $W\to c$ which means that there is an upper limit of the maximum weight that can be achieved.
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