Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.2 - The Natural Exponential Function - 4.2 Exercises - Page 342: 28

Answer

(a) $n(0)=200$ (b) See the image below. (c) As we can see from the graph as time goes on the population approaches $11200$

Work Step by Step

According to the information provided, we have the following function: $n(t)=\frac{5600}{0.5+27.5e^{-0.044t}}$ (a) For initial bird population we have $t=0$ $n(0)=\frac{5600}{0.5+27.5e^{-0.044\times0}}=\frac{5600}{0.5+27.5e^{0}}=\frac{5600}{28}=200$ (b) We can draw the graph using graphing calculator. See the image above. (c) As we can see from the graph as time goes on the population approaches $11200$
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