Answer:
Option (4)
Step-by-step explanation:
Table having ordered pairs in the same ratio will show the proportional relationship.
Option (1).
[tex]\frac{x_1}{x_2}=\frac{y_1}{y_2}[/tex]
[tex]\frac{-2}{-4}=\frac{4}{16}[/tex]
[tex]\frac{1}{2}=\frac{1}{4}[/tex]
Which is not true.
Therefore, Option (1) doesn't show the proportional relationship.
Option (2),
[tex]\frac{-6}{-8}=\frac{-12}{-18}[/tex]
[tex]\frac{3}{4}=\frac{2}{3}[/tex]
Not True.
Therefore, table given in option (2) doesn't show the proportional relationship.
Option (3).
[tex]\frac{-3}{-5}=\frac{5}{3}[/tex]
[tex]\frac{3}{5}=\frac{5}{3}[/tex]
Not True.
Table given in option (2) doesn't show the proportional relationship.
Option (4).
[tex]\frac{-6}{-9}=\frac{24}{36}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
Therefore,Table given in option (3) shows the proportional relationship.
