Question
A submarine starts at sea level and its depth changes by 215 meters per minute for 2 hours. Which statements describe the submarine’s descent? Select all that apply. 햠 The submarine had descended 600 meters after 1 hour. 햡 Halfway into its descent, the submarine had descended 900 meters. 햢 After 0.5 hour, the submarine had descended 450 meters. 햣 The submarine descends to a depth of 1,800 meters. 햤 After 2 hours, the depth of the submarine is double what it was after 1 hour. 향 After 2 hours, the depth of the submarine is triple what it was after 0.5 hour.
Answers
GPT-4o mini
To analyze the submarine's descent, we can calculate the depth changes step by step.
1. Depth change per minute = 215 meters
2. In 1 hour (60 minutes):
- Depth change = 215 meters/minute × 60 minutes = 12,900 meters
3. In 2 hours (120 minutes):
- Depth change = 215 meters/minute × 120 minutes = 25,800 meters
4. In 0.5 hour (30 minutes):
- Depth change = 215 meters/minute × 30 minutes = 6,450 meters
Now, we can evaluate each statement:
1. **The submarine had descended 600 meters after 1 hour.**
- **Incorrect** (It descended 12,900 meters.)
2. **Halfway into its descent, the submarine had descended 900 meters.**
- **Incorrect** (Halfway into the descent of 2 hours means 1 hour, and it had descended 12,900 meters.)
3. **After 0.5 hour, the submarine had descended 450 meters.**
- **Incorrect** (It descended 6,450 meters.)
4. **The submarine descends to a depth of 1,800 meters.**
- **Incorrect** (It descends to 25,800 meters, not 1,800.)
5. **After 2 hours, the depth of the submarine is double what it was after 1 hour.**
- **Correct** (After 1 hour, the depth is 12,900 meters; after 2 hours, it is 25,800 meters, which is double.)
6. **After 2 hours, the depth of the submarine is triple what it was after 0.5 hour.**
- **Correct** (After 0.5 hour, the depth is 6,450 meters; after 2 hours, it is 25,800 meters, which is indeed triple.)
### Summary of the Correct Statements:
- After 2 hours, the depth of the submarine is double what it was after 1 hour.
- After 2 hours, the depth of the submarine is triple what it was after 0.5 hour.
1. Depth change per minute = 215 meters
2. In 1 hour (60 minutes):
- Depth change = 215 meters/minute × 60 minutes = 12,900 meters
3. In 2 hours (120 minutes):
- Depth change = 215 meters/minute × 120 minutes = 25,800 meters
4. In 0.5 hour (30 minutes):
- Depth change = 215 meters/minute × 30 minutes = 6,450 meters
Now, we can evaluate each statement:
1. **The submarine had descended 600 meters after 1 hour.**
- **Incorrect** (It descended 12,900 meters.)
2. **Halfway into its descent, the submarine had descended 900 meters.**
- **Incorrect** (Halfway into the descent of 2 hours means 1 hour, and it had descended 12,900 meters.)
3. **After 0.5 hour, the submarine had descended 450 meters.**
- **Incorrect** (It descended 6,450 meters.)
4. **The submarine descends to a depth of 1,800 meters.**
- **Incorrect** (It descends to 25,800 meters, not 1,800.)
5. **After 2 hours, the depth of the submarine is double what it was after 1 hour.**
- **Correct** (After 1 hour, the depth is 12,900 meters; after 2 hours, it is 25,800 meters, which is double.)
6. **After 2 hours, the depth of the submarine is triple what it was after 0.5 hour.**
- **Correct** (After 0.5 hour, the depth is 6,450 meters; after 2 hours, it is 25,800 meters, which is indeed triple.)
### Summary of the Correct Statements:
- After 2 hours, the depth of the submarine is double what it was after 1 hour.
- After 2 hours, the depth of the submarine is triple what it was after 0.5 hour.