Question

A truck can be rented from Company A for ​$100 a day plus ​$0.70 per mile. Company B charges ​$70 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answer 1

Answer:

The cost of renting will be the same for 150 miles.

Step-by-step explanation:

Let n the number of miles and C be the cost. We can represent the cost equations for each companies:

A: C = 100 + 0.7n

B: C = 70 + 0.9n

They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:

100 + 0.7n = 70 + 0.9n

0.2n = 30

n = 150