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: 32a

Answer

$P(t)=\displaystyle \frac{42}{1+0.17(0.80)^{-t}}$

Work Step by Step

(We use desmos.com for the calculations/graph below.) Logistic Model form: $\displaystyle \quad R=\frac{N}{1+Ab^{-t}}$ 1. create a table with variable names $t$ and $P$ (R for research articles) and enter the data. 2. in the next free cell, enter $P\sim N/(1+Ab^{-t})$ The calculator returns $\left\{\begin{array}{l} N=42\\ A=0.17\\ b=0.80 \end{array}\right.$ (rounded to 2 significant figures.) $P(t)=\displaystyle \frac{42}{1+0.17(0.80)^{-t}}$
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