Which table shows a proportional relationship between x and y?

1# x 3 4.5 8 12
y 2 3 4 8

2# x 1 4 5 10
y 15 60 70 120

3# x 8 12 14 16
y 2 3 4 5

4# x 1 2 5 7
y 5 10 25 35

Table #4

Step-by-step explanation:

We know that if two quantities x and y are proportional it mean their ratio is proportional.

i.e.

For table 1# x 3 4.5 8 12

                    y 2 3 4 8

Here ,

But 1.5 ≠0.67.

⇒ This table does not show a proportional relationship between x and y.

For table 2# x 1   4   5   10

                   y 15 60 70 120

Here ,

But 14 ≠ 15

⇒ This table does not show a proportional relationship between x and y.

For table 3 # x 8  12  14   16

                  y  2  3  4     5

Here ,

But 0.286 ≠ 0.25

⇒ This table does not show a proportional relationship between x and y.

For table 4# x   1  2    5   7

                    y   5 10 25 35

Here ,

⇒ This table shows a proportional relationship between x and y.

Hence, table #4 shows the a proportional relationship between x and y.

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