Graph the Points and from Visual Inspection, Select the Model

Multiple Choice

Graph the points and from visual inspection, select the model that would best fit the data. Choose from $\begin{array} { l l } y = m x + b \text { (linear) } & y = a b ^ { x } \text { (exponential) } \\y = a + b \ln x \text { (logarithmic) } & y = \frac { c } { 1 + a e ^ { - b x } } \text { (logistic) }\end{array}$ Then use a graphing utility to find a function that fits the data. (Hint: For a logistic model, go to STAT, CALC,
Logistic.)
- $\begin{array} { c | c } x & y \\\hline 4 & 4.4 \\5 & 5.2 \\9 & 10.5 \\14 & 25.1 \\20 & 71.3 \\24 & 143.1\end{array}$

A) $y = - 101.2 + 61.88 \ln x$
B) $y = 2.2 ( 1.19 ) ^ { x }$
C) $y = \frac { 425 } { 1 + 214 e ^ { - 0.11 x } }$
D) $y = 6.2 x - 35.27$