Question

A truck can be rented from Company A for ​$110 a day plus ​$0.80 per mile. Company B charges ​$30 a day plus ​$0.90 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

800 miles

Explanation:

Let the number of miles be represented by x

Company A for ​$110 a day plus ​$0.80 per mile.

$110 + $0.80 × x

110 + 0.80x

Company B charges ​$30 a day plus ​$0.90 per mile to rent the same truck.

$30 + $0.90 × x

30 + 0.90x

110 + 0.80x = 30 + 0.90x

110 - 30 = 0.90x - 0.80x

80 = 0.1x

x = 80/0.1

x = 800 miles

800 miles driven per day makes the rental cost for Company A a better deal than Company​ B's