Question

select the correct equation for: y varies inversely with x y = kx $\frac{y}{x}=k$ y = $\frac{k}{x}$

Explanation:

Step1: Recall inverse - variation formula

The formula for inverse variation is that the product of two variables is a constant. Mathematically, if \(y\) varies inversely with \(x\), then \(xy = k\) (where \(k\) is a non - zero constant). We can rewrite this equation to solve for \(y\).

Step2: Solve \(xy = k\) for \(y\)

Dividing both sides of the equation \(xy = k\) by \(x\) (assuming \(x
eq0\)), we get \(y=\frac{k}{x}\).

Answer:

The correct equation is \(y = \frac{k}{x}\).