Question

A truck can be rented from Company A for ​$140 a day plus ​$0.80 per mile. Company B charges ​$80 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

600 miles in a day.

Explanation:

Variable x = number of miles

Company A: 140 + 0.80x

Company B: 80 + 0.90x

Set up an equation:

140 + 0.80x = 80 + 0.90x

Isolate variable x:

60 + 0.80x = 0.90x

60 = 0.10x

600 = x

Check your work:

140 + 0.80(600) = 80 + 0.90(600)

140 + 480 = 80 + 540

620 = 620

Correct!