一家小型放映厅的盈利额y(元)同售票数x之间的关系如下图所示,其中保险部门规定:超过150人时,要缴纳公安消防保险费50元.试根据关系图回答下列问题:(1)当售票数x满足0≤x≤150元,盈利额y(
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一家小型放映厅的盈利额y(元)同售票数x之间的关系如下图所示,其中保险部门规定:超过150人时,要缴纳公安消防保险费50元.试根据关系图回答下列问题:(1)当售票数x满足0≤x≤150元,盈利额y(
一家小型放映厅的盈利额y(元)同售票数x之间的关系如下图所示,其中保险部门规定:超过150人时,要缴纳公安消防保险费50元.试根据关系图回答下列问题:
(1)当售票数x满足0≤x≤150元,盈利额y(元)与x之间的函数关系式是________________.
(2)当售票数x满足150<x≤200元,盈利额y(元)与x之间的函数关系式是_________.
(3)当售票数x为_________时,不赔不赚;当售票数x满足_________时,放影厅要赔本;若放影厅要获得最大利润200元,此时售票数x应为_________;
一家小型放映厅的盈利额y(元)同售票数x之间的关系如下图所示,其中保险部门规定:超过150人时,要缴纳公安消防保险费50元.试根据关系图回答下列问题:(1)当售票数x满足0≤x≤150元,盈利额y(
(1)设y=kx+b,
把(0,-200),(150,100)代入可得,
{-200=b100=150k+b
∴k=2,b=-200,
则y=2x-200;
(2)3=3x-50
(3)当y=0时,x=100,即当售票数x为100时,放映厅不赔不赚;
∵当0≤x<100,2x-200<0,∴放映厅要赔本;
当y=200时,x=200,放映厅要获得最大利润200元,此时售票数x应为200.
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(1)y=2x-200 (2)y=3x-50 (3)100 0≤x<100 200
(1)当售票数x满足0≤x≤150元,盈利额y(元)与x之间的函数关系式是 Y=X
(2)当售票数x满足150<x≤200元,盈利额y(元)与x之间的函数关系式是
Y=X-50(要交50元保护费!) (100<Y≤150)
要利润比x=150时多,即多于150元.则有150≤Y=X-50
得200≤X即可