# Suppose that a y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation?

Jul 1, 2016

$y = \frac{0.4}{x}$

#### Explanation:

Standard Form of an Inverse Variation: $y = \frac{k}{x}$

These are the values that are given to us, $y = 0.2$, $x = 2$,
and we know that it is an inverse variation. We can plug in these numbers into the standard formula of an inverse variation.

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

$0.2 = \frac{k}{2}$

$0.4 = k$

Now that we've used out values to find $k$, we can make an inverse variation.

$y = \frac{0.4}{x}$

Just remember:

Plug in your values into the variation, solve for k, make a new variation but plug in the value for k.