Question

How do you find the constant of variation K for the inverse variation and then write an equation for the inverse variation given Y= 4.5 when X= 3?

Answer 1

The constant `k =13.5`
`color(blue)(xy) = color(red)(13.5`

Explanation:

Inverse variations are represented as
`x.y = k`

here , `color(blue)(x=3` and `color(red)(y=4.5`

So constant `k = color(blue)(3 )xx color(red)(4.5`
`k = 13.5`

So the variation can be represented as `color(blue)(xy) = color(red)(13.5`