Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.4 - Logistic Functions and Models - Exercises - Page 669: 34a

Answer

$T(t)=\displaystyle \frac{1080}{1+0.401(1.12)^{-t}}$ Level-off value is $N=1080.$

Work Step by Step

(We use desmos.com for the calculations/graph below.) Logistic Model form: $\displaystyle \quad T=\frac{N}{1+Ab^{-t}}$ 1. create a table with variable names $t$ and $T$ and enter the data. 2. in the next free cell, enter $T\sim N/(1+Ab^{-t})$ The calculator returns $\left\{\begin{array}{l} N=1080\\ A=0.401\\ b=1.12 \end{array}\right.$ (rounded to 3 significant figures.)
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