# Algebra 2 problem about a ticket system

You and your friend Alex are looking to buy tickets for a big concert. You know that Ticket System charges 22 dollar per person plus a 10 dollar surcharge per transaction. You and Alex think you can get a better deal at Max Tickets or Ticket Meister, both of which are also selling tickets for the event. Pick one of these two sellers, and use your knowledge of linear systems to compare it with Ticket System and figure out who has the better deal.

1. Which company did you select?
2. First, write an equation that represents the cost of tickets from Ticket System.
3. Next, write an equation that represents the cost of tickets from the company you chose.
4. Some friends have heard about the concert, and now you might have to buy up to five tickets. Use your equations to create a price table for each company.
5. Now graph the ticket prices for each company on the same pair of axes to compare the values.

Use the price table and your graph to answer the following questions.

6. Why is it helpful to have both lines on the same graph?
7. How many people have to buy tickets for the two companies to have the same price? How did you find your answer?
8. When does Ticket System give you a better price?