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?

x = about 3 months and y = about $32.04

Step-by-step 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! :)

x+14

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is