Answer:
Table D
Step-by-step explanation:
1)To verify a proportional relationship. You must simply divide "y" coordinate over "x" coordinate like this: [tex]\frac{y}{x}=k[/tex]. This constant K remaining the same, displays a proportional relationship between them.
Verifying C
[tex]\frac{y}{x}=\frac{1}{2}\neq\frac{3}{4}\neq \frac{5}{6}\neq\frac{7}{8}[/tex]
Not Proportional
So let's check for D
[tex]\frac{y}{x}=\frac{1}{2}=\frac{3}{6}=\frac{4}{8}=\frac{5}{10}=\frac{1}{2}\Rightarrow k=\frac{1}{2}[/tex]
Proportional :)
Geometrically, when there's a proportional relationship the line passes through the Origin. Check the graph for table D.