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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...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 10-(-5) 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 evaluate each statement one by one.
1. **The equation \(10 - (-5)\) represents the difference between the highest point and the lowest point for Enrique.**
- Enrique jumps from point A (10 feet high) to point B (-5 feet, which is below the surface of the water). To find the difference between these two points (the height of the diving board and the lowest point he reaches), we can use the equation \(10 - (-5)\) which simplifies to \(10 + 5 = 15\). This indeed represents the total distance between the top of the diving board and the lowest point Enrique reaches, which is underwater.
Therefore, this statement is **True**.
2. **Enrique is underwater at point B.**
- Point B is at -5 feet, which indicates that Enrique is indeed below the water surface (0 feet).
Therefore, this statement is **True**.
3. **The change in elevation for Enrique from point B to point C is represented by the equation \( (-5) - 0 = -5\).**
- To find the change in elevation from point B (-5 feet) to point C (0 feet), we should calculate it as:
\[
0 - (-5) = 0 + 5 = 5
\]
The equation presented \( (-5) - 0 = -5\) actually shows a decrease moving away from point B, not the correct calculation for the elevation change.
Therefore, this statement is **False**.
To summarize:
- Statement 1: **True**
- Statement 2: **True**
- Statement 3: **False**
1. **The equation \(10 - (-5)\) represents the difference between the highest point and the lowest point for Enrique.**
- Enrique jumps from point A (10 feet high) to point B (-5 feet, which is below the surface of the water). To find the difference between these two points (the height of the diving board and the lowest point he reaches), we can use the equation \(10 - (-5)\) which simplifies to \(10 + 5 = 15\). This indeed represents the total distance between the top of the diving board and the lowest point Enrique reaches, which is underwater.
Therefore, this statement is **True**.
2. **Enrique is underwater at point B.**
- Point B is at -5 feet, which indicates that Enrique is indeed below the water surface (0 feet).
Therefore, this statement is **True**.
3. **The change in elevation for Enrique from point B to point C is represented by the equation \( (-5) - 0 = -5\).**
- To find the change in elevation from point B (-5 feet) to point C (0 feet), we should calculate it as:
\[
0 - (-5) = 0 + 5 = 5
\]
The equation presented \( (-5) - 0 = -5\) actually shows a decrease moving away from point B, not the correct calculation for the elevation change.
Therefore, this statement is **False**.
To summarize:
- Statement 1: **True**
- Statement 2: **True**
- Statement 3: **False**