Answer:
Only the 3rd table shows a proportional relation between x and y.
Step-by-step explanation:
The first table is
x 2 3 5 6
y 3 4 7 9
Here y is not increasing in uniform rate with x. So, the relation is not proportional.
The second table is
x 4 6 8 10
y 6 8 10 12
Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.
The third table is
x 1 5 8 10
y 15 75 120 150
Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.
The fourth table shows
x 3 9 10 15
y 1 3 4 5
Here also y is not increasing in uniform rate with x. So, the relation is not proportional.
Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)
