Answer:
A, B, and D.
Step-by-step explanation:
According to the problem, the point (3, 6/5) represents a proportional relationship. To find the ratio of such proportion, we just need to divide the vertical coordinate by the horizontal coordinate as follows
[tex]r=\frac{y}{x}=\frac{\frac{6}{5} }{3}=\frac{6}{15}=0.4[/tex]
The ratio of the proportion is 0.4. Now, we just need to find which point has the same ratio.
A.
[tex]r=\frac{0.4}{1}=0.4[/tex]
This means that point A lies on the graph because it has the same ratio.
B.
[tex]r=\frac{\frac{6}{10} }{1.5}=\frac{0.6}{1.5}=0.4[/tex]
Point B also lies on the graph.
C.
[tex]r=\frac{3}{\frac{6}{5} }=\frac{15}{6}=2.5[/tex]
Point C doesn't lie on the graph because it doesn't have the same ratio.
D.
[tex]r=\frac{6}{15}=0.4[/tex]
Point D lies in the graph.
Therefore, all points that also lie on the same graph are A, B and D, because all of them are in the same proportion.
