Question

An SUV costs $25,535 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $32,395 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of the hybrid?

Answer 1

137200 miles

Explanation:

let x be the no of miles

and y be the cost

cost of the first SUV

y=25535+0.18x-----1

cost of the second SUV

y=32395+0.13x------2

let us solve for x in equation 1 and 2

y=25535+0.18x-----1

y=32395+0.13x------2

subtraction 1 from

-y=-25535-0.18x

y=32395+0.13x

0=6860-0.05x

6860=0.05x

divide both sides by x

6860/0.05=x

x= 137200 miles