急急急,九年反函数题,急求高手帮忙

来源:百度知道 编辑:UC知道 时间:2024/05/29 23:24:07
某地上年度电价为0.8元,年用量为1亿度,本年度计划将电价调于0.55~0.75之间,经测算,若电价调至X元,则本年度新增用电量Y(亿)度与(X-0。4)元成反比例,且当X=0.65元时,Y=0.8。
(1)求Y与X之间的函数关系
(2)若每度电的成本为0。3元,则电价调至多少时,本年度电力部门的收益将比上年度增加20%

第(1)我会做,解得Y=1/5(X-0.4)
关键就是(2)题,请高手帮我解答完整详细,不然会看不懂,谢谢
怎么又有Y又有X,怎么解,是不是用一个代入,请你帮忙全解出来好吗,好像答案很复杂

1. 由于Y与(X-0.4)成反比,那么
Y=a/(X-0.4)
将X=0.65,Y=0.8带入上式得到a=0.2
所以Y=1/[5(X-0.4)]

2.首先弄清楚等量关系:电力部门的收益=总电价-总成本
本年收益=上年收益*1.2

本年收益:(1+Y)*X-(1+Y)*0.3=
上年收益:1*0.8-1*0.3=0.5
所以:(1+Y)*X-(1+Y)*0.3=0.5*1.2
解方程得到答案

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