Answer:
Option C. Yes; y=2x
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]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
In this problem
For x=0, y=0
That means ----> the line passes through the origin
Find the value of k
For x=2, y=4
[tex]k=\frac{y}{x}[/tex] ----> [tex]k=\frac{4}{2}=2[/tex]
For x=4, y=8
[tex]k=\frac{y}{x}[/tex] ----> [tex]k=\frac{8}{4}=2[/tex]
The values of k are equal
therefore
The table represent a direct variation
The equation is equal to
[tex]y=2x[/tex]
