Which table shows a proportional relationship between x and y?

x. 2,4,5,6
y. 6,12,18,21

x. 3,5,7,8
y. 1.5, 2.5, 3, 4.5

x. 1,3,4,5
y. 50,150,200,250

x. 1,2,3,6
y 1.5,3,6,9

Table 3

X. 1,3,4,5

Y. 50,150,200,250

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

Verify each table

Find the value of k for each ordered pair

If the value of k is the same for all ordered pairs, then the table represents a proportional relationship.

If the k-value is different for any of the ordered pairs, then the table does not represent a proportional relationship

Table 1

For x=2, y=6 ---> ---->

For x=4, y=12 ---> ---->

For x=5, y=18 ---> ---->

The values of k are different

therefore

The table 1 not represent a proportional relationship

Table 2

For x=3, y=1.5 ---> ---->

For x=5, y=2.5 ---> ---->

For x=7, y=3 ---> ---->

The values of k are different

therefore

The table 2 not represent a proportional relationship

Table 3

For x=1, y=50 ---> ---->

For x=3, y=150 ---> ---->

For x=4, y=200 ---> ---->

For x=5, y=250 ---> ---->

The values of k are the same

therefore

The table 3 represent a proportional relationship

Table 4

For x=1, y=1.5 ---> ---->

For x=2, y=3 ---> ---->

For x=3, y=6 ---> ---->

The values of k are different

therefore

The table 4 not represent a proportional relationship

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.