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SAT真题答案pdf分享

SAT机考真题解析：

An auditorium has seats for 3200 people. Tickets to attend a show at theauditorium 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 equationy=-100x2+2400x+25600, where x represents the increase in ticket price,in dollars, and y represents the revenue, in dollars, from ticket sales. If thisequation is graphed in the xy-plane, at what value of x is the maximum ofthe graph?

A.8

B.12

C.24

D.32

解析：

对于二次函数 y=ax2+bx+c (a≠0),其对称轴公式为x=-2，当a<0时，函数在对称轴处取得*大值，在方程 y=-100x2+2400x +25600 中，a=-100，b=2400将a和b的值代入对称轴公式x=-2=2-10=12，所以当x=12 时，函数y取得*大值。

答案：B

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