Question

Write appropriate inverse variation equation if y=5 when x=3

Answer 1

`y=(15)/(x)`

Explanation:

If
`y` varies inversely with
`x`, then there is a constant,
`k`, such that
`y=(k)/(x)`.

We know a point
`(x,y)=(3,5)` is on the curve. This will allow us to find this constant,
`k`.

`y=(k)/(x)` with
`(x,y)=(3,5)`:

`5=(k)/(3)`

Multiply both sides by
`3`:

`5(3)=k`

Simplify:

`15=k`

So the equation is:

`y=(15)/(x)`.