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(1)/(x) \\ y=(k)/(x) \end{gathered}`

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

`\begin{gathered} 2=(k)/(8) \\ k=8\cdot2 \\ =16 \end{gathered}`

Thus, relation between x and y is,

`y=(16)/(x)`