Question

Which table of ordered pairs represents a proportional relationship?

Answer 1

I believe it’s the first one chart

Answer 2

Answer:

The correct option is 3.

Step-by-step 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,

$\frac{y_1}{x_1}=\frac{8}{4}=\frac{2}{1}$

$\frac{y_2}{x_2}=\frac{11}{7}$

$\frac{2}{1}\neq \frac{11}{7}$

Table 1 does not represents a proportional relationship.

Similarly,

For table 2,

$\frac{25}{5}\neq \frac{49}{7}$

Table 2 does not represents a proportional relationship.

For table 3,

$\frac{3}{6}=\frac{5}{10}=\frac{7}{14}=\frac{1}{2}$

Table 3 represents a proportional relationship.

For table 4,

$\frac{6}{3}\neq \frac{11}{8}$

Table 4 does not represents a proportional relationship.

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