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

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

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Answer 1 · 2015-10-29T04:57:45

$y = \frac{192}{x}$ $y=192/x$

Explanation:

An inverse equation, by definition, is $y = \frac{k}{x}$ $y=k/x$ , which translates in English to "y is inversely proportional to x". $k$ $k$ 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 $k$ $k$ . Then rewrite the inverse equation with the value for $k$ $k$ .

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

$24 = \frac{k}{8}$ $24=k/8$

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

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

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

$y = \frac{192}{x}$ $y=192/x$ .

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

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