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The question asks which equation represents the relationship between \( X \) and \( Y \), given that the constant of proportionality between them is 3.

The general form of a proportional relationship is:
\[
Y = kX
\]
where \( k \) is the constant of proportionality. In this case, \( k = 3 \), so the equation would be:
\[
Y = 3X
\]

The option shown in the image is:
- \( Y = X \div 3 \)

This corresponds to a situation where \( Y \) is one-third of \( X \), which is not a direct proportionality with a constant of 3. The correct equation for a constant of proportionality of 3 would be:
\[
Y = 3X
\]

Do you want more details on how to interpret constant of proportionality?

Here are 5 related questions to explore:
1. How do you find the constant of proportionality in a given data set?
2. What are some real-world examples of proportional relationships?
3. How does changing the constant of proportionality affect the graph of the equation?
4. What is the difference between direct and inverse proportionality?
5. How do you solve proportional relationships with variables on both sides?

**Tip:** Always ensure that the constant of proportionality is applied as a multiplier, not a divisor, in direct proportionality equations.

If the constant of proportionality between X and Y is 3, which equation represents their relationship?

Learn how to find the equation that represents the relationship between X and Y when the constant of proportionality is 3. This problem is suitable for students in Grades 6-8 and covers key concepts in algebra and proportionality.

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