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Question

A car costs 16500.00 and 0.22 /km to operate. Another car costs 17200 and 0.20/km to operate. How many km must owners drive so that the costs of both cars are the same?

Answer 1

taking d to be the distance traveled

16500.00 + 0.22d = 17200 + 0.2d

rearrange to get

0.02d = 700

therfore

d = 35000km

Answer 2

Cost = initial cost plus cost per mile times number of kilometers

so car 1 C=16500+.22(N)  where N=number of kilometers

car 2      C=17200+.2N

so setting costs equal

16500+.22N = 17200 + .20N

.02N =7000

N = 350000 km

Answer 3

Set it up so that 16500 + .22x = 17200 + .20x then solve for x

Answer 4

16500+.22m=17200+.2m

.02m=700

2m=70000

m=35000