Answer:
The table in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
we have
[tex]y=36x[/tex]
The constant of proportionality of the given equation is k=36
so
The table that represents the same proportional relationship as the given equation in the attached figure
because
Find the value of the constant of proportionality k
For x=0.5,y=18 --->[tex]k=\frac{18}{0.5}=36[/tex]
For x=2,y=72 --->[tex]k=\frac{72}{2}=36[/tex]
For x=3,y=108 --->[tex]k=\frac{108}{3}=36[/tex]
For x=6,y=216 --->[tex]k=\frac{216}{6}=36[/tex]
The constant of proportionality k is the same that the given equation
