Chapter 4.6, Problem 46PE

For Exercises 39-46, a table of data is given.

a. Graph the points and from visual inspection, select the model that would best fit the data. Choose from

$y=mx+b\left(\text{linear}\right)$

$y=a{b}^x\left(\text{exponential}\right)$

$y=a+b\ln x\left(\text{logarithmic}\right)$

$y=\frac{c}{1+a{e}^{-bx}}\left(\text{logistic}\right)$

b. Use a graphing utility to find a function that fits the data. (Hint: For For a logistic model, go to STAT, CALC, Logistic.)

x	y
0	0.05
2	0.45
4	2.94
5	5.8
6	8.8
7	10.6
8	11.5
10	11.9