Question

Suppose that y varies inversely with x. How do you write an equation for the inverse variation y=6 when x=8?

Answer 1

`xy=48.`

Explanation:

Given that, `y prop (1/x).`
`:. xy=k`, `k=` constant of variation.
Next, we use the condition that, when `x=8, y=6.`
putting these values in the last eqn., we have `xy=48`, which give us the desired eqn. `xy=48.`