# Calculus

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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

• Calculus -

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

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