Problema Solution

A truck can be rented from Company A for $80 a day plus $.30 per mile. Company B charges $20 per day plus $.80 per mile. How many miles must be driven in a day to make the rental cost for Company A less than the rental cost for Company B?

Answer provided by our tutors

If we drive x miles on a rented car in a day, then

Company A will charge us 80+0.3x dollars

Company B will charge us 20+0.8x dollars

We want the amount charged by company A to be less than the amount charged by company B,

so

80 + 0.3x < 20+0.8x

0.3x - 0.8x < 20-80

-0.5 x < -60

x > -60/(-0.5)

x > 120

We have to drive more than 120 miles.