Verified Answer :

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.

\(y\propto x\)

\(y=kx\)

Where, k is constant of proportionality.

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

\(y\propto \frac{1}{x}\)

\(y=k \frac{1}{x}\)

Where, k is constant of proportionality.

The given function is

\(y=6x\)

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

Therefore, y=6x is a direct variation.