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.)
- $\begin{array}{c|c}x & y \\\hline 10 & 41.2 \\20 & 47.5 \\30 & 51.2 \\40 & 53.8 \\50 & 55.9 \\60 & 57.5\end{array}$

A) $y = 0.31 x + 40.3$
B) $y = \frac { 138 } { 1 + 0.23 e ^ { - 0.09 x } }$
C) $y = 40.8 ( 1.01 ) ^ { x }$
D) $y = 20.2 + 9.11 \ln x$