AP Calculus ABeasymcq1 pt

Water is poured into a tank so that its volume after tt minutes is V(t)V(t) gallons. What are the units of dVdt\dfrac{dV}{dt}?

A.gallonsminute\dfrac{\text{gallons}}{\text{minute}}
B.gallons\text{gallons}
C.minutes\text{minutes}
D.gallonsminute2\dfrac{\text{gallons}}{\text{minute}^2}

Explanation

Core Concept

The derivative divides the change in volume by the change in time. Volume is in gallons and time is in minutes.

Correct Answer

Agallonsminute\dfrac{\text{gallons}}{\text{minute}}

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