Let's examine the tables and check whether $x$ and $y$ are proportional.

Table 1:

We check if there is a constant ratio between $y$ and $x$ in all pairs.

For each pair: $\frac{y}{x} = \frac{2}{14} = \frac{1}{7}, \quad \frac{3}{21} = \frac{1}{7}, \quad \frac{5}{35} = \frac{1}{7}, \quad \frac{56}{8} = 7$

The ratios are not constant because $\frac{y}{x} = 7$ in the last case, while the others give $\frac{y}{x} = \frac{1}{7}$. Therefore, Table 1 is not proportional.

Table 2:

We repeat the process for Table 2:

For each pair: $\frac{y}{x} = \frac{6}{2} = 3, \quad \frac{12}{3} = 4, \quad \frac{25}{5} = 5, \quad \frac{48}{8} = 6$

Here, the ratios are not constant either. Therefore, Table 2 is not proportional.

In conclusion:

• Table 1: Not proportional
• Table 2: Not proportional

Would you like more details on this or have any other questions? Here are some related questions for further exploration:

1. What defines a proportional relationship between two variables?
2. How can we calculate the constant of proportionality when it exists?
3. Can proportionality exist if the relationship is inverse (e.g., $y = \frac{k}{x}$)?
4. How does a proportional graph differ from a non-proportional graph?
5. What are some real-life examples of proportional relationships?

Tip: Always check for a consistent ratio between corresponding values to determine proportionality.