Question

Video Rental Company A charges a sign up fee of $19.20 and then $4.24 per month to rent as many videos as you want. Video Rental Company B has no sign up fee but charges $10.57 per month for renting an unlimited number of videos. Which system of equations can be used to determine the number of months it takes, x, for the two companies to charge the same amount, y?

Answer 1

x = about 3 months and y = about $32.04

Explanation:

x = month

y = when the two companies to charge the same amount

Company A

$19.20 + $4.24x = y

Company B

$10.57x = y

10.57x = 19.20 + 4.24x

10.57x-4.24x = 19.20

6.33x = 19.20

x=19.20/6.33

x= 3.03 rounded

So about 3 months

So now we plug in x to get y

10.57 * 3.03 = about $32.03

19.20 + 4.24 * 3.03 = about $32.05

I will average between the two costs which equals $32.04

Hope this helps! :)