Chapter 5, Problem 57RE

Wind Chill Factor The data represent the wind speed $\left(mph\right)$ and the wind chill factor at an air temperature of $15°F$.

$\begin{array}{cc}\begin{array}{l}\text{Wind Speed}\\ \text{(mph)}\end{array}& \begin{array}{l}\text{Wind Chill }\\ \text{Factor (°F)}\end{array}\\ 5& 7\\ 10& 3\\ 15& 0\\ 20& -2\\ 25& -4\\ 30& -5\\ 35& -7\end{array}$

Source: U.S. National Weather Service

Using a graphing utility, draw a scatter plot with wind speed as the independent variable.

Using a graphing utility, build a logarithmic model from the data.

Using a graphing utility, draw the logarithmic function found in part (b) on the scatter plot.

Use the function found in part (b) to predict the wind chill factor if the air temperature is $15°F$ and the wind speed is $23\text{mph}$.