# The variables x and y vary inversely. How do you use the given values to write an equation relating x and y and then find y when x = 0.5?

Aug 28, 2015

Without the "given values" this question can not be answered; so let's assume the given values are $y = 12$ when $x = 3$.
$\rightarrow x y = 36 \mathmr{and} y = \frac{36}{x}$
and $x = 0.5 \rightarrow y = 72$

#### Explanation:

If $y$ varies inversely as $x$
then $x \cdot y = c$ for some constant $c$

If $\left(x , y\right) = \left(3 , 12\right)$ then $c = 36$
and the above answer follows directly.