Question

A pool initially contains 1,385 cubic feet of water. Apump begins emptying the water at a constant rate of20 cubic feet per minute. Which of the followingfunctions best approximates the volume v(t), incubic feet, of water in the pool t minutes afterpumping begins, for 0 st 69 ?

Answer 1

Since the pump is emptying the water at a constant rate of 20 ft³/min, then we can set the following equation:

$\begin{gathered} v(t)=1385ft^3-20(ft^3/\min )t\min , \\ \text{ 0 }\min \leq t\leq69\min . \end{gathered}$

Answer:

$\begin{gathered} v(t)=1385ft^3-20(ft^3/\min )t\min , \\ \text{ 0}\min \leq t\leq69\min . \end{gathered}$