# math

It is projected that t months from now, the average price per unit for gods in a certain sector of the economy will be P(t) = -t3 +7t2 +200t + 300 dollars.
c.Use calculus to estimate the change in the rate of price increase during the first half of the 6th month.
How can I solve this problem?

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1. Did you mean
P(t) = -t^3 + 7t^2 + 200t + 300 ?

P' (t) = -3t^2 + 14t + 200

beginning of 6th month ---> t=6
P'(6) = -108 + 84 + 200 = 176

middle of 6th month ---> t = 6.5
P'(6.5) = -126.75 + 91 + 200 = 164.25

Does that help?

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posted by Reiny

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