Gasoline mileage Suppose the cost of driving an automobile is a linear function of the number x of miles driven and that gasoline costs $3 per gallon. A certain automobile presently gets 20 mi/gal, and a tune-up that will improve gasoline mileage by 10% costs $120.
(a) Express the cost C1 of driving without a tune-up in terms of x.
(b) Express the cost C2 of driving with a tune-up in terms of x.
(c) How many miles must the automobile be driven after a tune-up to make the cost of the tune-up worthwhile?
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