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 667: 20

Answer

$f(x)=\displaystyle \frac{75}{1+1.5(0.980)^{-x}}$ .

Work Step by Step

In desmos.com, we add a table with variables $x_{1}$ and $y_{1}$ and enter the given points. In the next free cell we enter $y_{1}\sim N/(1+Ab^{-x_{1}})$ and the calculator returns $N=75.3723:$ we round to $75$ $A=1.50166:$ we round to $1.5$ $b=0.979543:$ we round to $0.980$ $f(x)=\displaystyle \frac{75}{1+1.5(0.980)^{-x}}$
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