Which table of ordered pairs represents a proportional relationship?
Accepted Solution
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.
