Question

Which table of ordered pairs represents a proportional relationship?

Answer 1

i believe it’s the first one chart

Answer 2

The correct option is 3.

Explanation:

We need to find a table of ordered pairs that represents a proportional relationship.

Proportional relationship: It means y-values are proportional to x-values.

`y\propto x`

`y=kx`

where, k is constant of proportionality.

For table 1,

`(y_1)/(x_1)=(8)/(4)=(2)/(1)`

`(y_2)/(x_2)=(11)/(7)`

`(2)/(1)\\eq (11)/(7)`

Table 1 does not represents a proportional relationship.

Similarly,

For table 2,

`(25)/(5)\\eq (49)/(7)`

Table 2 does not represents a proportional relationship.

For table 3,

`(3)/(6)=(5)/(10)=(7)/(14)=(1)/(2)`

Table 3 represents a proportional relationship.

For table 4,

`(6)/(3)\\eq (11)/(8)`

Table 4 does not represents a proportional relationship.

Only table 3 represents a proportional relationship. Therefore the correct option is 3.