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?

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Answer 1 · 2015-06-10T17:20:05

The constant $k = 13.5$ $k =13.5$
$x y = 13.5$ $color(blue)(xy) = color(red)(13.5$

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

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

So constant $k = 3 \times 4.5$ $k = color(blue)(3 )xx color(red)(4.5$
$k = 13.5$ $k = 13.5$

So the variation can be represented as $x y = 13.5$ $color(blue)(xy) = color(red)(13.5$