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.

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 10--5=15 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 -5-0=-5.

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 10--5=15 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 -5-0=-5.
Answers
GPT-4o mini
Let's analyze each statement given the information about the diving board and the pool.
1. **The equation 10 - 5 = 15 represents the difference between the highest point and the lowest point for Enrique.**
This statement is **False**. The correct interpretation would be the difference between the height of the diving board (10 feet) and the depth of the pool (6 feet). However, using the equation given (10 - 5 = 15) would not correctly reflect that because the result is incorrect (10 - 5 = 5). Additionally, the difference should involve the full depth of the pool: 10 - (-6) = 10 + 6 = 16. Therefore, the statement is false.
2. **Enrique is underwater at point B.**
This statement is **True**. Assuming point A is at 10 feet (the height of the diving board) and point B is at 0 feet (the surface of the water), Enrique would be under the water's surface in the pool after jumping in. The pool has a depth of 6 feet, which means under the water corresponds to negative values, indicating that point B logically must be at a negative depth, meaning he is underwater.
3. **The change in elevation for Enrique from point B to point C is represented by the equation -5 - 0 = -5.**
This statement is **False**. The change in elevation should be calculated from point B (which we assume is below the surface of the water) to point C. If we assume that point B is at 0 feet (the surface) and point C is at -6 feet (the bottom of the pool), the change from point B (0) to point C (-6) would actually be represented as 0 - (-6) = 0 + 6 = 6 (indicating he goes down 6 feet underwater). Therefore, the equation -5 - 0 = -5 does not correctly represent the change.
To summarize, the answers are:
1. False
2. True
3. False
1. **The equation 10 - 5 = 15 represents the difference between the highest point and the lowest point for Enrique.**
This statement is **False**. The correct interpretation would be the difference between the height of the diving board (10 feet) and the depth of the pool (6 feet). However, using the equation given (10 - 5 = 15) would not correctly reflect that because the result is incorrect (10 - 5 = 5). Additionally, the difference should involve the full depth of the pool: 10 - (-6) = 10 + 6 = 16. Therefore, the statement is false.
2. **Enrique is underwater at point B.**
This statement is **True**. Assuming point A is at 10 feet (the height of the diving board) and point B is at 0 feet (the surface of the water), Enrique would be under the water's surface in the pool after jumping in. The pool has a depth of 6 feet, which means under the water corresponds to negative values, indicating that point B logically must be at a negative depth, meaning he is underwater.
3. **The change in elevation for Enrique from point B to point C is represented by the equation -5 - 0 = -5.**
This statement is **False**. The change in elevation should be calculated from point B (which we assume is below the surface of the water) to point C. If we assume that point B is at 0 feet (the surface) and point C is at -6 feet (the bottom of the pool), the change from point B (0) to point C (-6) would actually be represented as 0 - (-6) = 0 + 6 = 6 (indicating he goes down 6 feet underwater). Therefore, the equation -5 - 0 = -5 does not correctly represent the change.
To summarize, the answers are:
1. False
2. True
3. False