You rent a car for $29.95. The first 150 miles are free, but each mile thereafter costs 15 cents. You plan to drive it 200 miles. What is the marginal cost of driving the car beyond the first 150 free miles?

marginal cost is 15 cents

Explanation:

given data

car rent = $29.95

distance d1 = 150 miles

cost = 15 cents per miles

distance d2 = 200 miles

to find out

marginal cost

solution

first we find here cost for driving d2

cost for 150 to 200 miles = 15 * 50

cost for 150 to 200 miles = 750 cents = $7.5

so

cost for driving d2 = $7.5 + $29.95

cost for driving d2 = $37.45

so

marginal cost will be

marginal cost = change in cost / chance in distance

marginal cost = 37.45 - 39.95 / (200-150)

marginal cost = 7.5 / 50 = 0.15

marginal cost is 15 cents