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2023年12月D卷 · 第 18 题

2023年12月D卷 · 原库模块 1 · Q18 原库参考解析

An auditorium has seats for 3,000 people. Tickets to attend a show at the auditorium currently cost $8.00. For each $1.00 increase to the ticket price, 100 fewer tickets will be sold. This situation can be modeled by the equation \( y=-100x^2+2,200x+24,000, \)  where x represents the increase in ticket price, in dollars, and y represents the revenue, in dollars, from ticket sales. If this equation is graphed in the xy-plane, at what value of x is the maximum of the graph?
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