Question

Which rules would make this input-output pair true?
input
14
rule
Input Output Arrow
?
Input Output Arrow
output
8
Could be a rule for this input-output pair Could not be a rule for this input-output pair
Subtract 6.
Divide by 2, then add 1.
Write 8.
Divide by 2.
Multiply by
2
1
​
.
If two digit number, write 5. If one digit number, write 10.

Answer 1

To evaluate which rules would make the input-output pair (14 → 8) true, let's analyze each rule one by one:

1. **Subtract 6.**
- Input: 14 - 6 = 8.
- This rule **could be a rule** for this input-output pair.

2. **Divide by 2, then add 1.**
- Input: (14 / 2) + 1 = 7 + 1 = 8.
- This rule **could be a rule** for this input-output pair.

3. **Write 8.**
- This rule simply outputs 8 regardless of the input.
- This rule **could be a rule** for this input-output pair.

4. **Divide by 2.**
- Input: 14 / 2 = 7.
- Output is 7, not 8.
- This rule **could not be a rule** for this input-output pair.

5. **Multiply by 2.**
- Input: 14 * 2 = 28, resulting in output 28.
- This rule **could not be a rule** for this input-output pair.

6. **If two-digit number write 5. If one-digit number, write 10.**
- Input 14 is a two-digit number, so this rule outputs 5.
- This rule **could not be a rule** for this input-output pair.

In summary:
- Rules that **could be a rule**:
- Subtract 6.
- Divide by 2, then add 1.
- Write 8.

- Rules that **could not be a rule**:
- Divide by 2.
- Multiply by 2.
- If two-digit number write 5. If one-digit number, write 10.