Answer:
x y
2 10
5 20
6 30
Explanation:
A proportional relationship is one in which the ratio of the two quantities (in this case, y and x) remains constant. In other words, if you divide y by x for each pair of values, you should get the same result for all pairs.
In the table:
x y
2 10
5 20
6 30
If we calculate the ratio y/x for each pair:
For the first pair (2, 10), y/x = 10/2 = 5.
For the second pair (5, 20), y/x = 20/5 = 4.
For the third pair (6, 30), y/x = 30/6 = 5.
The ratio y/x remains constant at 5 for all three pairs. This demonstrates a proportional relationship because, as x increases, y increases in a way that maintains a consistent ratio between them (in this case, 5). This indicates that the two quantities, y and x, are directly proportional to each other.