# 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?

Jun 10, 2015

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