Which table of ordered pairs represents a proportional relationship?

Question

asked Nov 19, 2020 219k views

2 Answers

Scottynomad · Answer 1 · 2020-11-24T14:18:33+0000

Answer:

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.