Question

Which table shows a proportional relationship between x and y?

x 2 3 5 6
y 3 4 7 9

x 1 5 8 10
y 15 75 120 150

x 4 6 8 10
y 6 8 10 12

x 3 9 10 15
y 1 3 4 5

Answer 1

The third table.

Explanation:

To have a proportional relationship there must be a constant rate of change

6-5 / 9-7 = 1 /2

5-3 /7-4 = 2/3

these are different so this is not a proportional relationship

10-8 /150-120 =2/30

8-5 /120-75 =3/45

these are different so this is not a proportional relationship

10-8 /12-10 =2/2 =1

8-6 /10-8 =2/2= 1

These are the same therefore it is proportional