Question

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

Answer 1

`y = 0.4/x`

Explanation:

Standard Form of an Inverse Variation: `y = 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 = k/x`

`0.2 = k/2`

`0.4 = k`

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

`y = 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.