Question

Which table of ordered pairs represents a proportional relationship

Answer 1

Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.

Answer 2

Answer:

The second table.

Step-by-step explanation:

In this case, "a proportional relationship" refers to the presence of a constant of variation between variables, that is, variables must variate at the same rate, where such rate is call the constant of proportionality.

Notice that the second table fulfils this definion, because x-variable variates 2 units, while y-variable variates ten units. To find the constant of proportionality, we just need to divide

$k=\frac{10}{2}=5$

Which means that y-variable represents five times x-variable, let's evalute to prove this

$2 \times 5=10\\4 \times 5 = 20\\6 \times = 30$

Notice that we got all y-values.

Therefore, the right table is the second one, it presents a proportional relationship.