Mathis Rowe
08/04/2023 · Middle School

17 Mark for Review An auditorium has seats for 1,400 people. Tickets to attend a show at the auditorium currently cost \( \$ 6.00 \). For each \( \$ 1.00 \) increase to the ticket price, 100 fewer tickets will be sold. This situation can be modeled by the equation \( y=-100 x^{2}+800 x+8,400 \), where \( x \) represents the increase in ticket price, in dollars, and. represents the revenue, in dollars, from ticket sales. II this equation is graphed in the \( x y \)-plane, at what valui of \( x \) is the maximum of the graph? (A) 4 (B) 6 (C) 8 (D) 14

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The value of \( x \) at the maximum revenue is 4.

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