F5 Maths

2012-06-28 2:51 am
Given that y varies directly as x, where y>x, is it true that (y+2) varies directly as (x+2) ?
Explain briefly.

回答 (2)

2012-06-29 8:25 am
✔ 最佳答案
The answer is no.

First, y varies directly as x,
i.e. y=kx (where k is any real number smaller than 1)

From the above,
(y)+2=(kx)+2

but not y+2=k(x+2)=kx+2k,

therefore,it is wrong that (y+2) varies directly as (x+2)
2012-07-08 4:26 am
Surely not the case, because

x/y is not the same as ( x + 2 ) / ( y + 2 ) implying no unique Variation Constant exists.


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