Question
A diver descended 64 feet underwater after 4 minutes after 6 minutes the diver has descended 96 feet underwater what is the constant of.proportionality
Answers
GPT-4o mini
To find the constant of proportionality, we first need to understand how depth underwater relates to time in this scenario.
The diver descended:
- 64 feet in 4 minutes
- 96 feet in 6 minutes
We can determine the rate of descent in feet per minute.
1. **Calculate the depth per minute for both time intervals**:
- From 0 to 4 minutes:
- Depth = 64 feet
- Time = 4 minutes
- Rate = \( \frac{64 \text{ feet}}{4 \text{ minutes}} = 16 \text{ feet per minute} \)
- From 0 to 6 minutes:
- Depth = 96 feet
- Time = 6 minutes
- Rate = \( \frac{96 \text{ feet}}{6 \text{ minutes}} = 16 \text{ feet per minute} \)
2. **Determine the constant of proportionality**:
Since both calculations give us the same rate of descent, the constant of proportionality (the rate at which the diver descends) is **16 feet per minute**.
Therefore, the constant of proportionality is **16**.
The diver descended:
- 64 feet in 4 minutes
- 96 feet in 6 minutes
We can determine the rate of descent in feet per minute.
1. **Calculate the depth per minute for both time intervals**:
- From 0 to 4 minutes:
- Depth = 64 feet
- Time = 4 minutes
- Rate = \( \frac{64 \text{ feet}}{4 \text{ minutes}} = 16 \text{ feet per minute} \)
- From 0 to 6 minutes:
- Depth = 96 feet
- Time = 6 minutes
- Rate = \( \frac{96 \text{ feet}}{6 \text{ minutes}} = 16 \text{ feet per minute} \)
2. **Determine the constant of proportionality**:
Since both calculations give us the same rate of descent, the constant of proportionality (the rate at which the diver descends) is **16 feet per minute**.
Therefore, the constant of proportionality is **16**.