A graphing calculator is recommended.
The following table shows the time $T$, in hours, before a scuba diver wearing a 4-millimeter-thick wet suit reaches hypothermia (95°F) for various water temperatures $F$, in degrees Fahrenheit.
\begin{tabular}{|c|c|}
\hline
Water\\Temperature, $^\circ$F & Time $T$, hours\\\hline
41 & 1.5\\\hline
46 & 1.9\\\hline
50 & 2.4\\\hline
59 & 5.2\\\hline
\end{tabular}
(a) Find an exponential regression model for the data. (Round your numerical values to five decimal places.)
$T = $
(b) Use the model from (a) to estimate the time it takes for the diver to reach hypothermia in water that has a temperature of 59°F. Round to the nearest tenth of an hour.
h
