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?