Question

Which table of ordered pairs represents a proportional relationship? ​

Answer 1

Option (4)

Explanation:

Table having ordered pairs in the same ratio will show the proportional relationship.

Option (1).

`(x_1)/(x_2)=(y_1)/(y_2)`

`(-2)/(-4)=(4)/(16)`

`(1)/(2)=(1)/(4)`

Which is not true.

Therefore, Option (1) doesn't show the proportional relationship.

Option (2),

`(-6)/(-8)=(-12)/(-18)`

`(3)/(4)=(2)/(3)`

Not True.

Therefore, table given in option (2) doesn't show the proportional relationship.

Option (3).

`(-3)/(-5)=(5)/(3)`

`(3)/(5)=(5)/(3)`

Not True.

Table given in option (2) doesn't show the proportional relationship.

Option (4).

`(-6)/(-9)=(24)/(36)`

`(2)/(3)=(2)/(3)`

Therefore,Table given in option (3) shows the proportional relationship.