Q:

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

Accepted Solution

A:
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)