Answer:
D. (3, 6) and (4, 8)
Step-by-step explanation:
A proportion relation is defined as two variables that interact one to each other, directly. Basically its definition could be
[tex]y=kx[/tex]
This means that the set of points must have a constant proportion [tex]k[/tex].
However, in this case we only have one pair of points. A specific characteristic of proportional relationship in this case is that such ratio is a whole number: ±1, ±2, ±3, ±4, ±5,... ±n.
In this case, the last pair of point fulfil this characteristic. We demonstrate that by finding the ratio, which is the slope of the linear relationship
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] is the first point and [tex](x_{2} ,y_{2} )[/tex] is the second point. Replacing these points, we have
[tex]m=\frac{8-6}{4-3}=\frac{2}{1}=2[/tex]
So option D has a proportional relationship with a constant ratio of 2.
