It appears that the responses you provided follow a consistent pattern that involves a specific mathematical operation applied to a given input.
To determine the rule, let's summarize the operations:
- Add 2: When the input is a number, the output is the input value plus 2.
- Multiply by 2: When the input is a number, the output is the input value multiplied by 2.
- Divide by 2: When the input is a number, the output is the input value divided by 2.
- Subtract 2: When the input is a number, the output is the input value minus 2.
The rule for the input/output machine seems to depend on the operation specified for each individual response. Each line specifies an operation that transforms the input number accordingly:
- If I input x, then:
- For "Add 2" → output would be x + 2
- For "Multiply by 2" → output would be x * 2
- For "Divide by 2" → output would be x / 2
- For "Subtract 2" → output would be x - 2
Thus, the rule is defined by the specific operation being applied to the input number.