AP Calculus ABeasymcq1 pt

Water drains from a tank, and V(t)V(t) is the volume of water in gallons after tt hours. What are the units of V(t)V'(t)?

A.gallons\text{gallons}
B.hours\text{hours}
C.gallonshour2\dfrac{\text{gallons}}{\text{hour}^2}
D.gallonshour\dfrac{\text{gallons}}{\text{hour}}

Explanation

Core Concept

The derivative of volume with respect to time divides a volume by a time. So the units are gallons per hour.

Correct Answer

Dgallonshour\dfrac{\text{gallons}}{\text{hour}}

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