If y varies inversely as x, and if y = 9 when x = 2, find y when x = 3.
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Direct and Inverse Proportions
Inverse Proportion
If y varies inversely as x ...
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If y varies inversely as x, and y=9 when x=2, find y when x=3.
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y=
x
k
[as y various inversaly with x]
y=9;x=2
k=yx=9×2
k=18
y=
x
18
when x=3 y=
3
18
y=6
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A/q
y=k/x ,
where k is the constant of proportionality
As, 9 = k/2 :
y = 9 & x = 2
so, k=18.
Hence,
y=18/3 ;
as x=3 & k=18
so,
Aɴs : y=6
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