中四數學題 < 反變 >

2008-03-06 2:26 am
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題目: 設y隨x開方根而反變 , 若x減少了36% , 求y的百分數變化???

回答 (1)

2008-03-06 7:28 am
✔ 最佳答案
y oc (1/ √x)
y = k/√x where k is a constant
i.e. k = y √x
If x is 36% less,
y √x = y1 √x1 where x1 = (1-36%)x = 0.64x
i.e. y √x = (y1) √0.64x = 0.8(y1)√x
y = 0.8(y1)
y1 = 1.25y = (1+25%)y
Therefore,
y is increased by 25%




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