Answer:
(D) [tex]y=x+\frac{1}{2}[/tex]
Step-by-step explanation:
Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.
From the given options, if [tex]k=\frac{1}{2}[/tex]
(B)[tex]y=\frac{1}{2}x[/tex] is of the form y=kx
(C)[tex]y=\frac{3}{6}x[/tex] is of the form y=kx with [tex]k=\frac{1}{2}[/tex] as [tex]\frac{3}{6}=\frac{1}{2}[/tex] in its lowest form.
(C)[tex]y=0.5x[/tex] is of the form y=kx with [tex]k=\frac{1}{2}[/tex] as [tex]0.5=\frac{1}{2}[/tex] in fractional form.
On the Contrary,
In Option D, [tex]y=x+\frac{1}{2}[/tex] does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.