Solve the Problem A) Maximum Amount of Water After 5

Multiple Choice

Solve the problem.
-The amount of water (in gallons) in a leaky bathtub is given in the table below. Using a graphing utility, fit the data to a third degree polynomial (or a cubic) . Then approximate the time at which there is maximum amount
Of water in the tub, and estimate the time when the water runs out of the tub. Express all your answers rounded
To two decimal places. $$\begin{array} { c | c c c c c c c c } \mathrm { t } \text { (in minutes) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \mathrm { V } \text { ( in gallons) } & 20 & 26 & 45 & 63 & 86 & 94 & 90 & 67\end{array}$$

A) maximum amount of water after 5.37 minutes; water runs out after 11.06 minutes
B) maximum amount of water after 8.23 minutes; water runs out after 19.73 minutes
C) maximum amount of water after 5.31 minutes; water runs out after 8.23 minutes
D) maximum amount of water after 5.31 minutes; water never runs out