Solve the Problem A) Maximum Amount of Water After 8

question 65

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

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Definitions:

Femur

The bone in the upper leg; commonly called the thigh bone.

Fibula

The lateral bone of the lower leg.

Ulna

The medial bone of the lower arm.

Ulna

A long bone in the forearm, running from the elbow to the smallest finger, and when in anatomical position, is located on the medial side of the forearm.