Problema Solution

A truck can be rented from Company A for ​$160 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.60 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?

Answer provided by our tutors

Let the variable 'x' represent the distance in miles.

Company A rental cost = 140 + 0.40x

 Company B rental cost = 80 + 0.60x

We can write the question as an inequality with Company A rental cost on the left hand side and Company B rental cost on the right hand side:

160 + 0.4x < 80 + 0.60x

........

click here to see the inequality solved for x

........

x > 400

More than 400 miles should be driven per day to make the rental cost of Company A less than the rental cost of Company B.