How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x=7 y=5?

Question

4077 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-14T14:14:58

Constant: $k = 35$ $k = 35$

Variation: $y = \frac{35}{x}$ $y=35/x$

Inverse Variation: $y = \frac{k}{x}$ $y = k/x$

We are given $x$ $x$ and $y$ $y$ . We can plug these values into the equation above and solve for $k$ $k$ , the constant in the variation.

$5 = \frac{k}{7}$ $5 = k/7$

$35 = k$ $35 = k$

We determined that $k$ $k$ is the constant. But we are not done yet. We must form a new inverse variation with $k$ $k$ .

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

$y = \frac{35}{x}$ $y=35/x$

And that's our newly-written inverse variation.