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Jacob models his snowboard shop's profit over the last ten years with the function $P(t)$, where $t$ is the number of months the shop has been in business.

If:

$$\lim \limits_{t \to 65} \frac{P(65)-P(t)}{65-t}=\$5220 / \text{ month}$$

...what is the instantaneous rate of change in the profit when the shop has been in business for $65\text{ months}$?

A

$\$5220/\text{month}$

B

$\$65/\text{month}$

C

The same as the average rate of change over $[0, 65]$.

D

Not enough information is provided.

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