The given pattern shows a relationship between the input values (x) and the corresponding output values (y).
To find the rule, let's analyze the given examples:
1. When x = 2, y = 5.
2. When x = 3, y = 7.
3. When x = 5, y = 11.
Based on these examples, we can observe that the output values (y) are obtained by adding 3 to the input values (x).
For example:
- When x = 2, 2 + 3 = 5 (y = 5).
- When x = 3, 3 + 3 = 6 (y = 6).
Therefore, the rule is y = x + 3.
Let's verify the remaining values to confirm the rule:
4. When x = 7, using the rule, y = 7 + 3 = 10.
5. When y = 17, we can rearrange the rule to find the input value (x): x = y - 3. So, x = 17 - 3 = 14.
6. When x = 10, using the rule, y = 10 + 3 = 13.
The verified values are consistent with the given pattern, confirming that the rule is y = x + 3.