Question

How do you write inverse variation equation given x = 8, y = 24?

Answer 1

`y=192/x`

Explanation:

An inverse equation, by definition, is `y=k/x`, which translates in English to "y is inversely proportional to x". `k` is the constant of the function.

To determine the inverse equation for your problem, simply plug in the values given into the basic equation of an inverse equation. Solve for `k`. Then rewrite the inverse equation with the value for `k`.

First, plug in your values. Doing so gets you:

`24=k/8`

If we multiply both sides by `8` since we are trying to solve for `k`, we get:

`192=k` or `k=192`, by the reflexive property of equations.

Now, plug in the value of `k` into the basic equation. Doing so results in:

`y=192/x`.