Chapter 9 - Section 9.4 - Logistic Functions and Models - Exercises - Page 667: 18

$f(x)=\displaystyle \frac{10}{1+2.5(1.04)^{-x}}$ .

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 $N=9.953$: we round to $10$ $A=2.468 $: we round to $2.5$ $b=1.0401$: we round to $1.04$ $f(x)=\displaystyle \frac{10}{1+2.5(1.04)^{-x}}$