The volume of oil in a storage tank is given by the function $V(t)$, where $V$ is measured in gallons and $t$ is measured in hours. Which of the following provides the best interpretation of the equation $V'(5) = -30$?

Question

Accepted Answer

A. At time $t = 5$ hours, the volume of oil in the tank is decreasing at a rate of 30 gallons per hour.

Answer

At time $t = 5$ hours, the volume of oil in the tank is decreasing at a rate of 30 gallons per hour.

Answer

At time $t = 5$ hours, there are 30 fewer gallons of oil in the tank than at time $t = 0$.

Answer

The volume of oil in the tank is decreasing at a constant rate of 30 gallons per hour for the first 5 hours.

Answer

At time $t = 5$ hours, the volume of oil in the tank is 30 gallons.

The volume of oil in a storage tank is given by the function $V(t)$ , where $V$ is measured in gallons and $t$ is measured in hours. Which of the following provides the best interpretation of the equation $V'(5) = -30$ ?

Explanation

Core Concept

Correct Answer

More Unit 4: Contextual Applications of Differentiation practice questions

The volume of oil in a storage tank is given by the function V(t)V(t)V(t), where VVV is measured in gallons and ttt is measured in hours. Which of the following provides the best interpretation of the equation V′(5)=−30V'(5) = -30V′(5)=−30?

Explanation

Core Concept

Correct Answer

More Unit 4: Contextual Applications of Differentiation practice questions

The volume of oil in a storage tank is given by the function $V(t)$ , where $V$ is measured in gallons and $t$ is measured in hours. Which of the following provides the best interpretation of the equation $V'(5) = -30$ ?