Question

The ordered pair below is form an inverse variation.find the constant of variation.(8,6)

Answer 1

We have that an inverse variation can be represented by the following equation:

$\begin{gathered} k=xy \\ or \\ y=\frac{k}{x} \end{gathered}$

In this case we have the ordered pair (8,6), then, we have the following constant of variation:

$\begin{gathered} (x,y)=(8,6) \\ \Rightarrow k=(8)(6)=48 \\ k=48 \end{gathered}$

therefore, the constant of variation is k = 48