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 av erage 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?
1 answer:
Answer:
<h2> 137200 miles</h2>
Step-by-step 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
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