Question

The variables x and y are inversely proportional, and y=2 when x=3 what is the value of y when x=9

Answer 1

Inverse proportion:

`xy=k`

y=2 when x=3.

`3 * 2=k \\ k=6 \\ \\ xy=6`

y=? when x=9.

`9y=6 \\ y=(6)/(9) \\ y=(2)/(3)`

y=2/3 when x=9.