Question

A truck can be rented from Company A for ​$120 a day plus ​$0.50 per mile. Company B charges ​$40 a day plus ​$0.70 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A a better deal than Company​ B's?

Answer 1

you must drive 200 miles in a day to make the rental cost for Company A a better deal than Company B's

Explanation:

If you rent a truck from Company A, the cost will be 120+0.50m, where m is the number of miles you drive. If you rent a truck from Company B, the cost will be 40+0.70m, where m is the number of miles you drive. To find the number of miles you must drive in a day to make the rental cost for Company A a better deal than Company B's, we need to find the point at which the cost for Company A is less than the cost for Company B. We can do this by setting the two expressions equal to each other and solving for m:

120+0.50m=40+0.70m

120+0.50m-0.70m=40

0.20m=40

m=200

Therefore, you must drive 200 miles in a day to make the rental cost for Company A a better deal than Company B's.