find solution variation

👨🏻‍🏫 學術台數學

Andy

2011-03-13 1:07 am

it is given that y is inversely proportional to x.when x=a,y=8 ; when x=b,y=10.

find a:b

find the value of y when x=a-b

回答 (2)

用戶19809

2011-03-13 1:19 am

✔ 最佳答案

Let y=k/x
x=a => y=8
i.e. 8=k/a
a=k/8
x=b => y=10
10=k/b
b=k/10
a:b=(k/8):(k/10)
=5:4

x=a-b=5(a/5)-4(a/5)
=a/5
y=k/x=k(a/5)=5k/a=5(8)=40

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2011-03-13 1:32 am

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