Answer:
The correct option is D.
Step-by-step explanation:
It is given that x is directly proportional to f(x) and constant of variation is k.
[tex]f(x)\propto x[/tex]
[tex]f(x)=kx[/tex]
Therefore k is the slope.
Slope formula is
[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table the two points are (0,0) and (3,6).
[tex]k=\frac{6-0}{3-0}=\frac{6}{3}=2[/tex]
Therefore the value of constant of variation is 2 and option D is correct.
