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A truck can be rented from Company A for ​$140 a day plus ​$0.40 per mile. Company B charges ​$60 a day plus ​$0.80 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A less than the rental cost of Company​ B?

User Nick Dixon
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1 Answer

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Answer: the number of miles must be greater than 200.

Explanation:

Let x represent the number of miles driven with trucks of either company A or company B.

Company A for ​$140 a day plus ​$0.40 per mile. This means that the total amount that Company A would charge for x miles in a day is

0.4x + 140

Company B charges ​$60 a day plus ​$0.80 per mile to rent the same truck. This means that the total amount that Company B would charge for x miles in a day is

0.8x + 60

For the rental cost for Company A to be less than the rental cost of Company​ B, the number of miles would be

0.4x + 140 < 0.8x + 60

0.4x - 0.8x < 60 - 140

- 0.4x < - 80

Dividing through by - 4, it becomes

x > - 80/ - 0.4

x > 200

User Sunny Moon
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