If y varies directly as m and inversely as the square of n,a

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If y varies directly as m and inversely as the square of n,and if y=8 when m=16 and n=1,then what is the value of y when m=8 and n=4?
A 0.125
B 0.25
C 0.5
D 1
E 2
求讲解
书后答案是D

y跟m成正比,跟n^2成反比
所以y=k*m/(n^2) 已知y=8 when m=16 and n=1 所以k＝0.5
那么当m=8,n=4时代入上式解出y=0.25
再问：为什么y跟m成正比，跟n^2成反比所以y=k*m/(n^2)？？？怎么推导出来的还有书上答案是D
再答： y varies directly as m and inversely as the square of n directly as就是正比 inversely as就是反比如果答案不对就可能是我翻译错了 square of n应该是n的平方根如果y跟m成正比，跟根号n成反比，前面加个系数k，就设成 y=k*m/根号n 已知y=8 when m=16 and n=1 所以k＝0.5，所以 y=0.5*m/根号n 那么当m=8,n=4时代入上式解出y=2
再问：根号n 应该是square root of n, square of n是n^2没错的 y=k*m/(n^2)不是y和m/(n^2)成正比的意思么
再答：嗯我也发现了那就无视这题吧……SAT数学题经常有错的，或是难以理解吧……

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