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A family wants to rent a car to go on vacation. Company A charges $70.50 and 17 cents per mile. Company B charges $45.50 and 9 cents per mile. How much more does Company A charge for x miles than company B?

1 Answer

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To find out how much more Company A charges than Company B for x miles, we need to first calculate the total cost for each company for x miles, and then subtract the cost of Company B from the cost of Company A.

The cost for Company A for x miles is:

Total cost = $70.50 + 0.17x

The cost for Company B for x miles is:

Total cost = $45.50 + 0.09x

To find out how much more Company A charges than Company B, we can subtract the cost of Company B from the cost of Company A:

Difference in cost = ($70.50 + 0.17x) - ($45.50 + 0.09x)

Difference in cost = $25 + 0.08x

Therefore, Company A charges $25 + 0.08x more than Company B for x miles.
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