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The task requires determining the constant of proportionality between the number of ravioli and the number of people. This constant is found by dividing the number of ravioli by the number of people.

Given the dataThe task requires determining the constant of proportionality between the number of ravioli and the number of people. This constant is found by dividing the number of ravioli by the number of people.

Given the 
- For 4 ravioli served to 1 person, the ratio is \( \frac{4}{1} = 4 \).
- For 8 ravioli served to 2 people, the ratio is \( \frac{8}{2} = 4 \).
- For 16 ravioli served to 4 people, the ratio is \( \frac{16}{4} = 4 \).
- For 28 ravioli served to 7 people, the ratio is \( \frac{28}{7} = 4 \).

All these ratios are equal to 4, indicating that the constant of proportionality, \( k \), is 4. Thus, for every person, 4 ravioli are allocated.

Would you like further details or do you have any other questions? Here are some related questions:

1. How would the constant of proportionality change if the number of ravioli doubled but the number of people stayed the same?
2. What would be the total number of ravioli needed for 10 people?
3. How does the concept of proportionality apply to other real-life situations?
4. Can you explain why the constant of proportionality is important in direct proportion situations?
5. How would you graph the relationship between the number of ravioli and the number of people?

**Tip:** When determining the constant of proportionality in a direct proportion situation, ensure all ratios calculated from pairs of corresponding values are equal, confirming a direct relationship.

What is the constant of proportionality for the number of ravioli to number of people?

Learn how to find the constant of proportionality for ravioli shared equally among people. This problem covers key concepts of ratios and direct proportion with examples like 8 ravioli for 2 people. Suitable for students in Grades 4-6.

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