Driving costs a study of driving costs of 2008 mediumsized

Question

Question: DRIVING COSTS A study of driving costs of 2008 mediumsized sedans found that the average cost (car payments, gas, insurance, upkeep, and depreciation), measured in cents/ mile, is approximated by the function

C(x) = 1735.2 + 38.6
            x^1.72

where x denotes the number of miles (in thousands) the car is driven in a year.

a. What is the average cost of driving a medium-sized sedan 5000 mi/yr? 10,000 mi/yr? 15,000 mi/yr? 20,000 mi/yr ? 25,000 mi/yr ?

b. Use part (a) to sketch the graph of the function C.

c. What happens to the average cost as the number of miles driven increases without bound?