Average Value of a Rate Function

Question

The function $$v(t)$$ represents the rate of change of inventory in a warehouse, in items per hour, where $$t$$ is the number of hours since 8 A.M. Positive values for $$v(t)$$ indicate that items are being added to the inventory, and negative values indicate that items are being removed. Which of the following best interprets the expression $$\frac{1}{11-4}\int_4^{11} v(t)\, dt$$?

Accepted Answer

The average rate of inventory change, in items per hour, between 12 P.M. and 7 P.M.

Answer

The instantaneous rate of inventory change, in items per hour, at 7 P.M.

Answer

The total number of items that were processed (added or removed) between 12 P.M. and 7 P.M.

Answer

The net change in inventory, in items, between 12 P.M. and 7 P.M.

Average Value of a Rate Function

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