A carpenter builds large birdhouses with pieces of wood. The function $ g(x) $ represents the number of wood pieces used to build the large birdhouses, where $ x $ is the number of birdhouses built. Does a possible solution of $ (100, 2) $ make sense for this function?

1. What does $ x $ represent?
2. What does [tex]$ g(x) $[/tex] represent?

Let's address the question step by step.

1. Interpretation of $ x $ and $ g(x) $:
- In the context of the problem, $ x $ represents the number of birdhouses built by the carpenter.
- The function $ g(x) $ represents the number of wood pieces used to build the birdhouses.

2. Given Pair $(100, 2)$:
- We are given the pair $(100, 2)$.
- Here, $ x = 100 $ and $ g(x) = 2 $.

3. Does $(100, 2)$ Make Sense?:
- For $ x = 100 $, $ g(x) = 2 $.
- This means that if the carpenter builds 100 birdhouses, only 2 pieces of wood are used in total.

4. Analyzing the Practicality:
- It is important to consider whether using only 2 pieces of wood to build 100 birdhouses is feasible.
- Typically, building a single birdhouse would require multiple pieces of wood, and certainly more than 2 pieces in total for 100 birdhouses.
- Therefore, the given pair $(100, 2)$ seems impractical for real-world scenarios, as using only 2 pieces of wood for 100 birdhouses seems highly unlikely.

### What Does $ x $ Represent?

From our detailed analysis:

- $ x $ represents the number of birdhouses built.

### What Does $ g(x) $ Represent?

From our detailed analysis:

- $ g(x) $ represents the number of wood pieces used to build the birdhouses.

### Conclusion

Given the practical consideration, while the pair $(100, 2)$ describes a mathematical relationship, it is not realistic for building birdhouses. Nonetheless, this is the interpretation of the given problem.

So, summarizing:

- $ x $ represents the number of birdhouses built.
- [tex]$ g(x) $[/tex] represents the number of wood pieces used to build the birdhouses.