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.
The vertical number line shows numbers from -6 to 10 in increments of 2 has point B at -5, point C is at 0 and point A is at 10.
Enrique 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.
Determine whether each statement below is true or false. Select True or False for each statement.
Statement
True
False
The equation
represents the difference between the highest point and the lowest point for Enrique.
Enrique is underwater at point B.
The change in elevation for Enrique from point B to point C is represented by the equation
.
The vertical number line shows numbers from -6 to 10 in increments of 2 has point B at -5, point C is at 0 and point A is at 10.
Enrique 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.
Determine whether each statement below is true or false. Select True or False for each statement.
Statement
True
False
The equation
represents the difference between the highest point and the lowest point for Enrique.
Enrique is underwater at point B.
The change in elevation for Enrique from point B to point C is represented by the equation
.
Answers
GPT-4o mini
To analyze the statements, let’s first establish the positions:
- Point A (the diving board) is at 10 feet (the highest point).
- Point B (where Enrique lands) is at -5 feet (underwater).
- Point C (the surface of the pool) is at 0 feet.
Now, let's evaluate each statement one by one:
1. **The equation represents the difference between the highest point and the lowest point for Enrique.**
- The highest point is at point A (10 feet) and the lowest point he reaches is at point B (-5 feet).
- To find the difference, you use:
\[ \text{Difference} = \text{Highest Point} - \text{Lowest Point} = 10 - (-5) = 10 + 5 = 15 \]
- Since the equation is not provided, we cannot confirm if it's true or false without more context. However, given a proper equation reflecting this difference, this statement would be true. (Assuming it correctly reflects this calculation).
**Answer: Cannot be determined without knowing the equation; assuming it is a correct representation, it can be considered True.**
2. **Enrique is underwater at point B.**
- Point B is at -5 feet. Since this is below 0 (the surface level), Enrique is indeed underwater at that point.
**Answer: True**
3. **The change in elevation for Enrique from point B to point C is represented by the equation .**
- To find the change in elevation from point B (-5 feet) to point C (0 feet), we can calculate:
\[ \text{Change} = \text{Final} - \text{Initial} = 0 - (-5) = 0 + 5 = 5 \]
- This reflects that he is moving from underwater (-5 feet) to the surface (0 feet).
- If the equation corresponds correctly to this change (e.g., if it is 0 - (-5)), then this statement is true.
**Answer: Assuming the equation represents this change accurately, it is True.**
Summary of answers:
1. True (based on the assumption that the equation correctly reflects the calculation of the difference).
2. True
3. True (assuming the equation represents the change from -5 to 0 correctly).
- Point A (the diving board) is at 10 feet (the highest point).
- Point B (where Enrique lands) is at -5 feet (underwater).
- Point C (the surface of the pool) is at 0 feet.
Now, let's evaluate each statement one by one:
1. **The equation represents the difference between the highest point and the lowest point for Enrique.**
- The highest point is at point A (10 feet) and the lowest point he reaches is at point B (-5 feet).
- To find the difference, you use:
\[ \text{Difference} = \text{Highest Point} - \text{Lowest Point} = 10 - (-5) = 10 + 5 = 15 \]
- Since the equation is not provided, we cannot confirm if it's true or false without more context. However, given a proper equation reflecting this difference, this statement would be true. (Assuming it correctly reflects this calculation).
**Answer: Cannot be determined without knowing the equation; assuming it is a correct representation, it can be considered True.**
2. **Enrique is underwater at point B.**
- Point B is at -5 feet. Since this is below 0 (the surface level), Enrique is indeed underwater at that point.
**Answer: True**
3. **The change in elevation for Enrique from point B to point C is represented by the equation .**
- To find the change in elevation from point B (-5 feet) to point C (0 feet), we can calculate:
\[ \text{Change} = \text{Final} - \text{Initial} = 0 - (-5) = 0 + 5 = 5 \]
- This reflects that he is moving from underwater (-5 feet) to the surface (0 feet).
- If the equation corresponds correctly to this change (e.g., if it is 0 - (-5)), then this statement is true.
**Answer: Assuming the equation represents this change accurately, it is True.**
Summary of answers:
1. True (based on the assumption that the equation correctly reflects the calculation of the difference).
2. True
3. True (assuming the equation represents the change from -5 to 0 correctly).