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To determine if the values of \( x \) (the number of kids) and \( y \) (the number of caramel chews) have a proportional relationship, we need to check if the ratio \( \frac{y}{x} \) remains constant for all given pairs of \( x \) and \( y \).

Let’s calculate the ratio for each pair:

1. For \( x = 2 \), \( y = 10 \):
   \[
   \frac{y}{x} = \frac{10}{2} = 5
   \]

2. For \( x = 9 \), \( y = 45 \):
   \[
   \frac{y}{x} = \frac{45}{9} = 5
   \]

3. For \( x = 11 \), \( y = 55 \):
   \[
   \frac{y}{x} = \frac{55}{11} = 5
   \]

4. For \( x = 18 \), \( y = 90 \):
   \[
   \frac{y}{x} = \frac{90}{18} = 5
   \]

Since the ratio \( \frac{y}{x} \) is constant (always 5), we can conclude that \( x \) and \( y \) have a proportional relationship.

Would you like more details or have any other questions?

Here are 5 related questions:
1. What does it mean for two variables to have a proportional relationship?
2. How can you verify proportionality using a table of values?
3. What is the constant of proportionality in this case?
4. How would you express this relationship as an equation?
5. What would the number of caramel chews be if there were 20 kids?

**Tip:** In a proportional relationship, the graph of the data forms a straight line passing through the origin (0,0).

According to the values in the table, do x and y have a proportional relationship?

Determine if the number of kids (x) and the caramel chews (y) have a proportional relationship by analyzing the table of values. Use ratios and proportionality rules to confirm.

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