You are organizing your high school’s sports banquet. The banquet hall rental is $250. In addition to this one-time charge, the meal will cost $7 per plate. Let x = the number of people who attend.
Part a: Write an equation that represents the total cost C.
Part b: Write an equation that represents the average cost A per person.
Part c: Use the graph of the model shown below to estimate the number of people who must attend before the average cost drops to $15 per meal.
Part d: Describe what happens to the average cost as the number of people who attend increases.