Question

A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company an charges $60 a day plus $0.30 per mile to rent the same truck.Find the number of mile in a day at which the rental costs for company A and Company B are the same.

Answer 1

Answer:

500 miles

Step-by-step explanation:

Let

y -----> the rental cost

x ----> the number of miles in a day

we have

Company A

$y=0.20x+110$ -----> equation A

Company B

$y=0.30x+60$ -----> equation B

Equate equation A and equation B and solve for x

$0.20x+110=0.30x+60$

$0.30x-0.20x=110-60$

$0.10x=50$

$x=500\ miles$

For x=500 miles the rental costs for company A and Company B are the same