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Which rule describes the relationship between the input and output pairs in the following table?

\begin{tabular}{|c|c|}
\hline
Input & Output \\
\hline
9 & 7 \\
88 & 5 \\
7 & 3 \\
\hline
\end{tabular}

Choose one answer:

A. Subtract 2 from the input to get the output.
B. Multiply the input by 0, then add 5 to the result to get the output.
C. Multiply the input by 2, then subtract 11 from the result to get the output.

Sagot :

GinnyAnswer
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
```
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