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Grace [21]
2 years ago
11

A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the average attendance has been 2500

0. When the price dropped to $7, the average attendance rose to 28000. a) Find the demand function p(x), where x is the number of the spectators. (Assume that p(x) is linear.)
Mathematics
1 answer:
Nana76 [90]2 years ago
5 0

Answer:

p(x) = 38500 - 1500x.

Step-by-step explanation:

The average attendance was 25000 when the ticket price at $9. The average attendance rose to 28000 when the price lowered to $7.

Therefore, if the demand function p(x) where, x is the value of each tickets is linear then we have p(9) = 25000 and p(7) = 28000.

Hence, the demand function will be given as

\frac{p(x) - 28000}{28000 - 25000} = \frac{x - 7}{7 - 9}

⇒ p(x) - 28000 = 1500(7 - x)

⇒ p(x) = 28000 + 10500 - 1500x

⇒ p(x) = 38500 - 1500x. (Answer)

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