What am I being asked to find in this word problem? - Rate of change.

Hey, I have a word problem here, and I am asking to ensure that I am finding the correct thing.

**Question:** The amount of pollution in a certain lake is , where t is measured in years, and P is measured in parts permillion (ppm). At what rate is the amount of pollution changing after 16 years?

**Answer: **I am understanding this to be asking me what the instantaneous rate of change is at the 16 year mark. So I find the derivative of which is . Then I plug t = 16 into this derivative and this is my answer.

Am I doing the what the question asks?