Answer:
C) [tex]y=3x[/tex]
Step-by-step explanation:
The proportional equation is given by :
[tex]y=kx[/tex]
where [tex]k[/tex] represents constant of proportionality.
The value of [tex]k[/tex] can be found out by dividing the [tex]y[/tex]-value by the corresponding [tex]x[/tex]-value.
[tex]k=\frac{y}{x}[/tex]
The points on graph is given as:
(0,0),(2,6),(12,4),(18,6) and (24,8)
So, the value of [tex]k[/tex] using point (2,6) can be calculated as :
[tex]k=\frac{6}{2}[/tex]
∴ [tex]k=3[/tex]
Thus the proportional relationship of the graph is given by :
[tex]y=3x[/tex] (Answer)