16. [0.25/1 Points] DETAILS MY N When the annual rate of inflation averages 4% over the next 10 years, the approximate cost C of goods or services during any year in that decade is given below, where t is the time in years and P is t present cost. C(t) = P(1.04) (a) Suppose the price of an oil change for your car is presently $23.78. Estimate the price (in dollars) 10 years from now. (Round your answer to the nearest cent.) C(10) = $ 35.20 (b) Find the rates of change of C with respect to t when t 1 and t 9. (Round your coefficients to three decimal places.) att-1 0.041 x att-9 1.327 X (c) Verify that the rate of change of C is proportional to C. What is the constant of proportionality?