James paid an initial fee of $6.00 for a movie rental service. Each time he rents a movie he is charged $2.00. Sarah uses a different movie rental service that charges based on the equation y = 3x + 4, where y is the total cost and x is the number of movies rented. At what point are the prices of the two services the same?

The prices of the two services are the same when two movies have been rented

Step-by-step explanation:

We can figure out at what point the two services cost the same by using the y=mx+c formula

James:

y=2x+6

Sarah:

y=3x+4

We then figure out at what point are the two services the same by making the equations equal each other and then solve from their

3x+4=2x+6

3x+4-2x=2x+6-2x

x+4-4=6-4

x=2

Therefore the price of the two services are the same when 2 movies have been rented