Only Table 1 and Table 2 could represent proportional relationships.
A proportional relationship is where two quantities change in direct proportion to each other. This means that as one quantity increases, the other quantity increases by the same factor. For example, if you double the amount of money you spend on groceries, you will also double the amount of groceries you get.
Analyzing the given tables:
Table 1:
Each value of y is 1.5 times the corresponding value of x.
The ratio of y to x is always the same (1.5), indicating a proportional relationship.
Table 2:
Each value of y is twice the corresponding value of x.
The ratio of y to x is always the same (2), indicating a proportional relationship.
Table 3:
As the value of x increases, the value of y increases, but not proportionally.
The ratio of y to x is not constant (2 for the first two pairs, 3 for the last pair), suggesting a non-proportional relationship.
Therefore, only Table 1 and Table 2 could represent proportional relationships.