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