Question

select the correct equation for: y varies directly with x and inversely with z y = \frac{kx}{z} y = \frac{k}{xz} yx = \frac{k}{z}

Explanation:

Step1: Recall direct - inverse variation rules

If $y$ varies directly with $x$, we have $y = k_1x$ (where $k_1$ is a non - zero constant). If $y$ varies inversely with $z$, we have $y=\frac{k_2}{z}$ (where $k_2$ is a non - zero constant). Combining these two relationships, when $y$ varies directly with $x$ and inversely with $z$, the general form is $y = k\frac{x}{z}$ (where $k$ is the combined constant of variation).

Answer:

$y=\frac{kx}{z}$