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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!

Is this table proportional or non-proportional?

Learn how to determine whether a table of values is proportional by checking if the ratio of x to y is constant. This problem involves calculating ratios for each pair and verifying proportional relationships. Suitable for Grades 6-8.

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