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At what number of miles in a day will the rental costs for Company A and Company B be the same?

A) 160 miles
B) 200 miles
C) 120 miles
D) 180 miles

User Nhenrique
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1 Answer

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Final answer:

To find the number of miles at which the rental costs for Company A and Company B are the same, set up an equation based on the given information and solve for x. At 100 miles in a day, the rental costs for Company A and Company B will be the same.

Step-by-step explanation:

To find the number of miles at which the rental costs for Company A and Company B are the same, we can set up an equation based on the given information.

Let x be the number of miles traveled in a day. The rental cost for Company A is $40 plus $0.25 per mile, so the cost for Company A can be represented as 40 + 0.25x. The rental cost for Company B is $30 plus $0.35 per mile, so the cost for Company B can be represented as 30 + 0.35x.

To find the number of miles at which the rental costs are the same, we can set up the equation 40 + 0.25x = 30 + 0.35x. Solving this equation will give us the answer.

40 + 0.25x = 30 + 0.35x
0.1x = 10
x = 100

Therefore, at 100 miles in a day, the rental costs for Company A and Company B will be the same, which is not one of the options provided in the question.

User Halmon
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