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8 October, 14:57

A football team plays in a large stadium. With a ticket price of $17 , the average attendance at recent games has been 50,000. A market survey indicates that for each $1 increase in the ticket price, attendance decreases by 200. a. Express the number of spectators at a football game, N, as a function of the ticket price, x. b. Express the revenue from a football game, R, as a function of the ticket price, x. a. Write the function that expresses the number of spectators at a football game, N, as a function of the ticket price, x. Upper N (x) N (x) equals

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  1. 8 October, 15:07
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    a. N (x) = 50000 - 200x

    b. R (x) = (50000-200x) (17+x)

    Step-by-step explanation:

    a. Given,

    The the original price of each ticket = $ 17,

    Also, the average attendance = 50,000

    Let x be the number of times the original price of each ticket is increased by $ 1,

    Also, for each $1 increase in the ticket price, attendance decreases by 200,

    Thus, decrements in the attendance = 200x,

    If N (x) represents the new average attendance,

    Then,

    N (x) = 50000 - 200x

    Which is the required function,

    b. Now,

    Revenue = average attendance * price of each ticket

    R (x) = N (x) * (17 + x)

    ⇒ R (x) = (50000-200x) (17+x)

    Which is the required function.
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