Question

A truck can be rented from Company A for $90 a day plus 50.40 per mile. Company B charges $30 a day plus 50 60 per mile to rent the same truck. Find the numberof miles in a day at which the rental costs for Company A and Company B are the same.At what miles, the rental costs are the same from either company?

Answer 1

For this problem we can create the following functions for the total cost for ech company like this:

`Ca=90+50.4x`
`Cb=30+50.60x`

Where x represent the number of miles and Ca, Cb the cost for Company A and B respectively. For this case we can set up equal both costs and we got:

`90+50.4x=30+50.60x`

And if we solve for x we got:

`90-30=(50.60-50.40)x`
`60=0.2x`

And solving for x we got:

`x=(60)/(0.2)=300`

And for this case we can conclude that x=300 miles in order to have the same rental costs for both companies