# Which equation is the inverse variation relationship for the following quantities y =-12 when x = 5?

Oct 6, 2017

$y = - \frac{60}{x}$

#### Explanation:

$\text{the initial statement is } y \propto \frac{1}{x}$

$\text{to convert to an equation multiply by k the constant of}$
$\text{variation}$

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

$\text{to find k use the given condition}$

$y = - 12 \text{ when } x = 5$

$y = \frac{k}{x} \Rightarrow k = y x = - 12 \times 5 = - 60$

$\text{equation is } \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = - \frac{60}{x}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$