Respuesta :

This Is Direct Variation Because Y Always Varies Directly With X. It
Is Always 6 Times As Large As X.

Answer:

y=6x is a direct variation.

Step-by-step explanation:

In direct variation the relation between two variable is direct. It means y varies directly as x.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is constant of proportionality.

In inverse variation the relation between two variable is inversely proportional. It means y varies inversely as x.

[tex]y\propto \frac{1}{x}[/tex]

[tex]y=k \frac{1}{x}[/tex]

Where, k is constant of proportionality.

The given function is

[tex]y=6x[/tex]

It is direct variation because y varies directly as x and constant of proportionality is 6.

Therefore, y=6x is a direct variation.