Certainly! Let's analyze each given position to determine if it represents a diver's position in relation to the surface of the water after diving into a pool.
### Given Options:
1. 3 meters
2. -2 meters
3. -3.1 meters
4. [tex]\(1 \frac{7}{8}\)[/tex] meters
5. [tex]\(-2 \frac{1}{2}\)[/tex] meters
To determine which positions might represent a diver's position below the surface of the water, we need to identify those positions that are negative, as negative values indicate a position below the surface.
### Step-by-Step Analysis
1. 3 meters:
- This value is positive.
- A positive value means the diver is above the surface of the water or at the same level, and it doesn't indicate a position under the water.
- Not applicable.
2. -2 meters:
- This value is negative.
- A negative value indicates that the diver is below the surface of the water.
- Applicable.
3. -3.1 meters:
- This value is negative.
- A negative value means the diver is below the surface level.
- Applicable.
4. [tex]\(1 \frac{7}{8}\)[/tex] meters:
- Convert the mixed number to an improper fraction: [tex]\(1 \frac{7}{8} = 1 + \frac{7}{8} = \frac{8}{8} + \frac{7}{8} = \frac{15}{8} \approx 1.875\)[/tex].
- This value is positive.
- A positive value means the diver is above the surface of the water.
- Not applicable.
5. [tex]\(-2 \frac{1}{2}\)[/tex] meters:
- Convert the mixed number to an improper fraction: [tex]\(-2 \frac{1}{2} = -2 - \frac{1}{2} = -2.5\)[/tex].
- This value is negative.
- A negative value indicates the diver is below the surface of the water.
- Applicable.
Conclusion:
The positions that could represent a diver's position below the surface of the water after diving into a pool are:
- [tex]\(-2\)[/tex] meters
- [tex]\(-3.1\)[/tex] meters
- [tex]\(-2.5\)[/tex] meters
