Inflation When the annual rate of inflation averages 5% over the next 10 years, the approximate cost
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Inflation When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of goods or services during any year in that decade is
where t is the time in years and P is the present cost.
(a) The price of an oil change for your car is presently $24.95. Estimate the price 10 years from now.
(b) Find the rates of change of C with respect to t when t = 1 and t = 8.
(c) Verify that the rate of change of C is proportional to C.
What is the constant of proportionality?
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