A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $8 the average attendence has been 22000. When the price dropped to $7, the average attendence rose to 28000. Assume that attendence is linearly related to ticket price.

Answer 1

you have two points on the graph: (8,22) and (7,28)
so, if x = price and y = attendance (in thousands),
y-28 = -6(x-7)
restrict x so that 0 <= y <= 56

Answer 2

Then maximize income = x y