Respuesta :

When two variable quantities have a constant (unchanged) ratio, their relationship is called a direct variation. It is said that one variable "varies directly" as the other...simply when the y-intercept is zero.

So the best answer is f(x)=2x

Answer:

[tex]f(x)=2x[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a direct variation the constant of proportionality k is equal to the slope of the line m and the line passes through the origin

therefore

in this problem

[tex]f(x)=2x[/tex] -----> represent a direct variation