$2-26$ Total costs and unit costs. A student association has hired a band and a caterer for a graduation party. The band will charge a fixed fee of $$1,000$ for an evening of music, and the caterer will charge a fixed fee of $$600$ for the party setup and an additional $$9$ per person who attends. Snacks and soft drinks will be provided by the caterer for the duration of the party. Students attending the party will pay $$5$ each at the door.

Draw a graph depicting the fixed cost, the variable cost, and the total cost to the student association for different attendance levels.

Suppose $100$ people attend the party. What is the total cost to the student association? What is the cost per person?

Suppose $500$ people attend the party. What is the total cost to the student association and the cost per attendee?

Draw a graph depicting the cost per attendee for different attendance levels. As president of the student association, you want to request a grant to cover some of the party costs. Will you use the per attendee cost numbers to make your case? Why or why not?