Question

In an inverse variation, y = 2 when x = 8. Write an inverse variation equation that showsthe relationship between x and y

Answer 1

The general equation for the inverse variation is,

$\begin{gathered} y\propto\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

Substitute the value of x and y in the equation to obtain the value of k.

$\begin{gathered} 2=\frac{k}{8} \\ k=8\cdot2 \\ =16 \end{gathered}$

Thus, relation between x and y is,

$y=\frac{16}{x}$