CEMC Banner

Problem of the Week
Problem B
Let’s Go to the Movies

At a movie theatre, all tickets are the same price. The ticket revenue is the money the theatre gets from customers when they buy tickets. The line graph shows the total ticket revenue when different amounts of tickets are sold.

The horizontal axis of the line graph has Tickets Sold with values 0, 50, 100, 150 and 200 marked. The vertical axis has Total Ticket Revenue, in dollars, with values 0, 500, 1000, 1500, and 2000 marked. The graph is a straight line passing through (0,0), (50, 500), (100, 1000), (150, 1500) and (200, 2000) and continuing up and to the right.

  1. What is the total ticket revenue when \(100\) tickets are sold?

  2. How much does one ticket cost?

  3. The theatre has \(250\) seats in total. What is the total ticket revenue if they sell out?

  4. The theatre is planning an open air movie for which they will charge the same price per ticket. If the open air space can hold \(600\) people, what is the maximum total ticket revenue for that show?

  5. How can you tell from the graph that all tickets are the same price? Explain.

Themes: Algebra, Data Management