How do you write an inverse variation equations given x = 12 when y = 3.?

Jan 18, 2016

Explanation is given below.

Explanation:

The inverse variance equation is of the form.

$y = \frac{k}{x}$

Where $k$ is the constant of variation.

We can find $k$ by substituting the values of $x$ and $y$ in

$k = x y$

Our question gives the values as $x = 12$ and $y = 3$.

$k = \left(12\right) \left(3\right)$

$k = 36$

The inverse equation is $y = \frac{36}{x}$