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Proportion
inverse variation
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Inverse proportion
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inverse variation
Def: a relation between two quantities such that one increases in proportion as the other decreases.
If is inversely proportional , then this can
be written as or where k is a constant.
y x
x
ky
xy
1
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. If ,when =3,find when =30
When =30
How to solve:
xy
1 5y x x
5.030
15
15353
5
y
k
kx
ky
y
x
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Q1) ,if when =2,find:a) The constant of proportionalityb) The value of , when =4c) The value of ,when =24
Class Work:
3
1
xy 3y x
y xx y
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Q2) ,if when =2.5,find:a) The constant of proportionalityb) The value of , when =20c) The value of ,when =5
xy
1 4y x
y xx y
Solve
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Q) ,if when =0.5,find:a) The constant of proportionalityb) The value of , when =0.1c) The value of ,when =64
Home Work:
2
1
xy 1y x
y xx y