Proportion

inverse variation

Inverse proportion

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

. 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

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

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

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