生产100吨到121吨时总成本的平均变化率公式

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1.75亿学生的选择
某厂今年一月的总产量为100吨,三月的总产量为121吨,平均每月增长率是多少?
设平均每月增率是x,二月份的总产量为:100×(1+x);三月份的总产量为:100(1+x)2=121;解得x1=-2.1(不合题意,舍去),x2=10%.答:平均每月的增长率是10%.
为您推荐:
根据增长后的量=增长前的量×(1+增长率),如果设平均每月增率是x,那么根据三月份的产量可以列出方程.
本题考点:
一元二次方程的应用.
考点点评:
此题主要考查了一元二次方程的应用,若设变化前的量为a,变化后的量为b,平均变化率为x,则经过两次变化后的数量关系为a(1±x)2=b(当增长时中间的“±”号选“+”,当降低时中间的“±”号选“-”).
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