Two video rental businesses are in a heated battle - a competition to win you as a new customer. Both companies are on the cutting edge of technology and connectivity. They are able to provide a new service to their customers. This new service will give customers the opportunity to view new movies and documentaries before they are released on DVD or Blu-ray. You can stream these via cable, satellite, smart phone, tablet, and more. The two companies are FasterFlix and NewerBox.
FasterFlix has an amazing promotional offer that gets you the unlimited video viewings for a low annual membership fee of just $10. With this premium membership you get unlimited rentals for the cheap price of $2 per movie.
NewerBox's offer is a TKO to that of its competitor. With NewerBox, you get unlimited rentals and no membership fee. At just $3 per rental, you get your video newer than all other competitors.
Write an equation that models the cost of doing business with each of these two competitors. For each equation let x represent the number of videos rented, and let y represent the total cost.
Graph the system on the coordinate plan. Solve the system algebraically.