Respuesta :
Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:
[tex]y=kx[/tex]
Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:
[tex]f(x)=\frac{3}{4}x[/tex]