Question

Car Stars Auto Rental charges $35 a day plus $0.25 per mile. Car Express Auto Rental charges $17 a day plus $0.40 per mile.

What number of miles results in the same cost for one day?
A. 50 miles
B. 90 miles
C. 100 miles
D. 120 miles

Answer 1

the answer is "D"

Answer 2

x=number of miles
stars cost is 35+price for driving
price for driving=cost per mile times number oof miles
starts=35+0.25x

express is 17+0.4x

when will prices be equal?
set eaqual to each other

35+0.25x=17+0.4x
subtract 0.25x from both sides
35=17+0.15x
subtract 17 from both sides
18=0.15x
divide both sides by 0.15
120=x

answer is 120 miles

answer is D