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In the given problem, we are asked to find the constant of proportionality between the perimeter and the side length of a square.

We can calculate the constant by taking the ratio of the perimeter to the side length. Based on the table:

\[
\text{Perimeter} = 8 \, \text{inches}, \quad \text{Side length} = 2 \, \text{inches}
\]

The formula for the perimeter of a square is \( P = 4 \times \text{side length} \). 

Thus:

\[
\frac{\text{Perimeter}}{\text{Side length}} = \frac{8}{2} = 4
\]

This same ratio holds for the other pairs of values in the table:

- \(\frac{16}{4} = 4\)
- \(\frac{24}{6} = 4\)

Therefore, the constant of proportionality is **4**.

Would you like further details, or do you have any questions?

Here are 5 related questions:
1. What is the general formula for the perimeter of a square?
2. How can you verify if two quantities are in a proportional relationship?
3. How does the constant of proportionality relate to linear equations?
4. What happens to the perimeter if you double the side length of the square?
5. Can the constant of proportionality ever be a fraction?

**Tip:** Always check if the ratios of two quantities are constant to determine proportionality.

Look at the ratios of perimeter to side length in the table. What is the constant of proportionality?

This problem helps students understand proportional relationships between the perimeter of a square and its side length. By using the formula P = 4 × side length, the constant of proportionality is determined by examining the ratio of perimeter to side length for various square sizes.

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