https://file.aiquickdraw.com/mathbot/file/173039123624408ovsjyc.jpg

To determine if the table is proportional, we need to check if the ratio between corresponding \( x \) and \( y \) values is consistent across all pairs.

The table is:

\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 8 & 16 & 24 & 32 \\
\hline
y & 2 & 4 & 6 & 8 \\
\hline
\end{array}
\]

Now, let's calculate the ratio \( \frac{y}{x} \) for each pair:

1. For \( x = 8 \) and \( y = 2 \): \( \frac{y}{x} = \frac{2}{8} = \frac{1}{4} \)
2. For \( x = 16 \) and \( y = 4 \): \( \frac{y}{x} = \frac{4}{16} = \frac{1}{4} \)
3. For \( x = 24 \) and \( y = 6 \): \( \frac{y}{x} = \frac{6}{24} = \frac{1}{4} \)
4. For \( x = 32 \) and \( y = 8 \): \( \frac{y}{x} = \frac{8}{32} = \frac{1}{4} \)

Since the ratio \( \frac{y}{x} \) is consistent and equal to \( \frac{1}{4} \) for all pairs, the relationship is **proportional**.

Would you like more details on how to determine proportionality?

---

### Related Questions
1. What are other methods to determine proportionality?
2. How do you identify a non-proportional table?
3. What is the significance of a constant ratio in proportional relationships?
4. Can proportional relationships be represented on a graph?
5. How can proportional relationships be applied in real-life situations?

### Tip
Always check all pairs in a table to confirm proportionality, as even a single inconsistency would make it non-proportional.

Is this table proportional or non-proportional?

Learn how to determine if a table of values is proportional by checking for a consistent ratio between x and y values. This example demonstrates how to calculate ratios for each pair and identify proportional relationships. Suitable for students in Grades 6-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation