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

1 Answer
Oct 29, 2015

Answer:

#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#.