Question

Which table shows a proportional relationship between x and y? x 2 3 5 6 y 3 4 7 9 x 4 6 8 10 y 6 8 10 12 x 1 5 8 10 y 15 75 120 150 x 3 9 10 15 y 1 3 4 5

Answer 1

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)