A ticket to a school dance is $8.Usually,300 students attend.The dance committee knows that for every $1 increase in the price of a ticket,30 fewer students attend the dance.What ticket price will maximize the revenue?

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A ticket to a school dance is $8.Usually,300 students attend.The dance committee knows that for every $1 increase in the price of a ticket,30 fewer students attend the dance.What ticket price will maximize the revenue?

A ticket to a school dance is $8.Usually,300 students attend.The dance committee knows that for every $1 increase in the price of a ticket,30 fewer students attend the dance.What ticket price will maximize the revenue?
A ticket to a school dance is $8.Usually,300 students attend.The dance committee knows that for every $1 increase in the price of a ticket,30 fewer students attend the dance.What ticket price will maximize the revenue?

A ticket to a school dance is $8.Usually,300 students attend.The dance committee knows that for every $1 increase in the price of a ticket,30 fewer students attend the dance.What ticket price will maximize the revenue?
set ticket price as x
y=(300- 30(x-8)/1) * X
y=-30x的平方+540x+0
写成顶点式y= -30(x-9)平方+2430
in order to let y get the maximum value let X-9=0
therefore when x=9,y has the maximum value 2430
11年级的我也忘记是用什么求最大值的了,或者我记得是不是有个求顶点的公式发给你们的handout上面有的就是给你一个函数求出他的顶点,那个就是了,不过得先说下他的leading cofficent是负的所以他有最大值然后再求顶点.