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The population, P, of a small town is modelled by the function P(t)=-2t3+55t2+15t+22000 , where t=0...

The population, P, of a small town is modelled by the function P(t)=-2t3+55t2+15t+22000 , where t=0 represents the beginning of this year.

a) What is the initial population?

b) What is the population at the end of 10 years?

c) What is the average rate of change over 10 years?

d) Estimate the instantaneous rate of change at the end of the10th year.

e) What is the difference between your answer in b) and d)?

Math   Precalculus   
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