Let's analyze each rule by checking whether it correctly describes the relationship between the given input-output pairs.
### Given Input-Output Pairs:
- (9, 7)
- (88, 5)
- (7, 3)
### Rule (A): Subtract 2 from the input to get the output
1. For input 9:
[tex]\[
9 - 2 = 7
\][/tex]
This is correct for the pair (9, 7).
2. For input 88:
[tex]\[
88 - 2 = 86
\][/tex]
This is incorrect for the pair (88, 5).
3. For input 7:
[tex]\[
7 - 2 = 5
\][/tex]
This is incorrect for the pair (7, 3).
Since this rule fails to correctly describe two out of three pairs, Rule (A) is incorrect.
### Rule (B): Multiply the input by 0. Then add 5 to the result to get the output
1. For input 9:
[tex]\[
0 \times 9 + 5 = 0 + 5 = 5
\][/tex]
This is incorrect for the pair (9, 7).
2. For input 88:
[tex]\[
0 \times 88 + 5 = 0 + 5 = 5
\][/tex]
This is correct for the pair (88, 5).
3. For input 7:
[tex]\[
0 \times 7 + 5 = 0 + 5 = 5
\][/tex]
This is incorrect for the pair (7, 3).
Since this rule also fails to correctly describe two out of three pairs, Rule (B) is incorrect.
### Rule (C): Multiply the input by 2. Then subtract 11 from the result to get the output
1. For input 9:
[tex]\[
2 \times 9 - 11 = 18 - 11 = 7
\][/tex]
This is correct for the pair (9, 7).
2. For input 88:
[tex]\[
2 \times 88 - 11 = 176 - 11 = 165
\][/tex]
This is incorrect for the pair (88, 5).
3. For input 7:
[tex]\[
2 \times 7 - 11 = 14 - 11 = 3
\][/tex]
This is correct for the pair (7, 3).
Since this rule fails to correctly describe the pair (88, 5), Rule (C) is also incorrect.
### Conclusion
None of the provided rules (A, B, or C) accurately describe the relationship between all the given input and output pairs.
Therefore, the correct answer is:
```
None
```
