A baseball team plays in a stadium that holds 51,000 spectators. With ticket prices at $10, the average attendance had been 49,000. When ticket prices were lowered to $8, the average attendance rose to 51,000

a. Find the demand function (price p as a function of attendance x), assuming it to be linear

1 answer

You have two points on the graph:
(10,49) and (8,51)

price went down 2
attendance went up 2

So, the slope is -1, making the demand function

p-49 = -1(x-10)
or
p(x) = 59-x

where x is measured in thousands