Question

An SUV costs $26,425 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $33,195 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

135,400 miles

Explanation:

SUV cost = $26,425 + $0.18m

= 26,425 + 0.18m

Hybrid SUV cost = $33,195 + $0.13m

= 33,195 + 0.13m

Where,

m = number of miles

Equate the cost of the two SUVs

33,195 + 0.13m = 26,425 + 0.18m

33,195 - 26,425 = 0.18m - 0.13m

6,770 = 0.05m

divide both sides by 0.05

m = 6,770 / 0.05

= 135,400

m = 135,400 miles

The gas-only SUV exceed the cost of the hybrid after 135,400 miles