To determine whether the table is proportional or non-proportional, we need to check if the ratio between corresponding values of $x$ and $y$ is constant across all pairs.

From the table:

• $\frac{x}{y} = \frac{8}{2} = 4$
• $\frac{x}{y} = \frac{16}{4} = 4$
• $\frac{x}{y} = \frac{24}{6} = 4$
• $\frac{x}{y} = \frac{32}{8} = 4$

Since the ratio $\frac{x}{y}$ is constant (always 4), this means the table is proportional.

Let me know if you need further details or have any questions!

Here are some follow-up questions:

1. What is the ratio of $x$ to $y$ called?
2. How would you identify a non-proportional relationship in a table?
3. Can you write an equation for the proportional relationship from this table?
4. How can you graph a proportional relationship?
5. What are other real-life examples of proportional relationships?

Tip: For any proportional relationship, the graph will always be a straight line through the origin!