Question

A truck can be rented from Company A for $130 a day plus 50.30 per mile. Company B charges 570 a day plus 50.70 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

Not possible

Explanation:

You use the formula y = mx + b to make equations for both situations then solve from there

Let x be miles driven

Company A:

y = 50.30x + 130

Company B:

y = 50.70x + 570

You solve by making the equations equal each other to figure out the variable (miles driven)

50.70x + 570 = 50.30x + 130

50.70x + 570 - 50.30x + 130 - 50.30x

0.4x + 570 - 570 = 130 - 570

0.4x = -440

x = -1100

Therefore there is no amount of miles you can drive for Company A and Company B to have the same rental costs