Question
The vertical number line below represents a diving board and a pool. The diving board is 10 feet high and the pool has a depth of 6 feet.
David stands on the diving board, which is at point A on the number line. He jumps off of the diving board and ends up at point B. After a few seconds, he swims to point C on the number line.
Select True or False for each situation stated below.
The equation represents the difference between the highest point and the lowest point for David
Query 1
David is underwater at point B.
Query 2
The change in elevation for David from point B to point C is represented by the equation
Query 3
David stands on the diving board, which is at point A on the number line. He jumps off of the diving board and ends up at point B. After a few seconds, he swims to point C on the number line.
Select True or False for each situation stated below.
The equation represents the difference between the highest point and the lowest point for David
Query 1
David is underwater at point B.
Query 2
The change in elevation for David from point B to point C is represented by the equation
Query 3
Answers
GPT-4o mini
To analyze David's situation, let's first establish the heights of the various points:
- Point A (the diving board) is at 10 feet.
- Point B (David's position after jumping off the diving board) would be at -6 feet (since he jumps into the pool which has a depth of 6 feet).
- Point C (where David swims) could be either above the water (like at the surface, 0 feet) or underwater (below 0 feet, depending on where he swims to).
Now, we can address each query:
**Query 1: The equation represents the difference between the highest point and the lowest point for David.**
- True or False: **True.**
The highest point is 10 feet (point A) and the lowest point is -6 feet (point B). The difference between the highest and lowest point is 10 - (-6) = 16 feet.
**Query 2: David is underwater at point B.**
- True or False: **True.**
Since point B is at -6 feet (underwater), David is indeed underwater at this point.
**Query 3: The change in elevation for David from point B to point C is represented by the equation.**
- This query is incomplete as it does not specify what the equation is. However, the change in elevation from point B (-6 feet) to point C would typically be calculated as follows (assuming point C is above the water):
Change in elevation = Height at point C - Height at point B. If point C is at 0 feet, then the change would be 0 - (-6) = 6 feet.
Without seeing the actual equation referenced, we cannot definitively select True or False. However, if the equation correctly describes the change from -6 feet to the height of point C, then it may be **True**. If it does not accurately reflect that change, then it would be **False**.
To sum up:
- Query 1: **True**
- Query 2: **True**
- Query 3: Depends on the equation given, but could be **True** if it accurately reflects the elevation change.
- Point A (the diving board) is at 10 feet.
- Point B (David's position after jumping off the diving board) would be at -6 feet (since he jumps into the pool which has a depth of 6 feet).
- Point C (where David swims) could be either above the water (like at the surface, 0 feet) or underwater (below 0 feet, depending on where he swims to).
Now, we can address each query:
**Query 1: The equation represents the difference between the highest point and the lowest point for David.**
- True or False: **True.**
The highest point is 10 feet (point A) and the lowest point is -6 feet (point B). The difference between the highest and lowest point is 10 - (-6) = 16 feet.
**Query 2: David is underwater at point B.**
- True or False: **True.**
Since point B is at -6 feet (underwater), David is indeed underwater at this point.
**Query 3: The change in elevation for David from point B to point C is represented by the equation.**
- This query is incomplete as it does not specify what the equation is. However, the change in elevation from point B (-6 feet) to point C would typically be calculated as follows (assuming point C is above the water):
Change in elevation = Height at point C - Height at point B. If point C is at 0 feet, then the change would be 0 - (-6) = 6 feet.
Without seeing the actual equation referenced, we cannot definitively select True or False. However, if the equation correctly describes the change from -6 feet to the height of point C, then it may be **True**. If it does not accurately reflect that change, then it would be **False**.
To sum up:
- Query 1: **True**
- Query 2: **True**
- Query 3: Depends on the equation given, but could be **True** if it accurately reflects the elevation change.