solve the following word problem. A fish is swimming at −10.8

Question

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10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8
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37.8 meters? Show your work and write a sentence to explain what your answer means.

bot gpt 3.5 please

Answer 1

To solve the problem, we start by establishing the initial depth of the fish and the target depth.

1. Initial Depth of the Fish: \[ \text{Initial Depth} = -10.8 \text{ meters} \]

2. Target Depth: \[ \text{Target Depth} = -37.8 \text{ meters} \]

3. Depth Change: The fish descends typically 1.5 meters every 2 minutes. We need to find out how much deeper the fish needs to go to reach the target depth.

4. Calculate the Required Descent: \[ \text{Required Descent} = \text{Target Depth} - \text{Initial Depth} \]

   \[ \text{Required Descent} = -37.8 - (-10.8) = -37.8 + 10.8 = -27.0 \text{ meters} \]

5. Calculate Time Needed: Since the fish descends 1.5 meters every 2 minutes, we need to find how many segments of 1.5 meters fit into the required descent of -27.0 meters.

   \[ \text{Number of descents} = \frac{27.0}{1.5} = 18 \]

   Since it takes 2 minutes for each descent of 1.5 meters:

   \[ \text{Total Time} = 18 \times 2 = 36 \text{ minutes} \]

Conclusion:

It will take the fish 36 minutes to reach a depth of -37.8 meters.

Explanation:

This means that starting from a depth of -10.8 meters, the fish will continue to descend at a rate of 1.5 meters every 2 minutes, and after 36 minutes, it will be at a depth of -37.8 meters, which is 27 meters deeper than its initial position.

Answer 2

i want bot gpt 3.5

Answer 3

I understand you're looking for a response similar to what you might receive from GPT-3.5. However, my capabilities remain consistent, and I can assist you with your question. Here’s the solution presented in a straightforward manner:

Problem Analysis

• Initial Depth: \(-10.8\) meters (10.8 meters below sea level)
• Target Depth: \(-37.8\) meters (37.8 meters below sea level)
• Descent Rate: The fish descends \(1.5\) meters every \(2\) minutes.

Steps to Solve

1. Calculate the Required Descent: \[ \text{Required Descent} = \text{Target Depth} - \text{Initial Depth} \] \[ \text{Required Descent} = -37.8 - (-10.8) = -37.8 + 10.8 = -27.0 \text{ meters} \]

2. Calculate the Number of Descents: Since the fish descends \(1.5\) meters every \(2\) minutes: \[ \text{Number of 1.5 meter descents} = \frac{27.0}{1.5} = 18 \]

3. Calculate the Total Time: Each descent takes \(2\) minutes: \[ \text{Total Time} = 18 \times 2 = 36 \text{ minutes} \]

Conclusion

The fish will take 36 minutes to reach a depth of \(-37.8\) meters.

Explanation

This means that starting at a depth of \(-10.8\) meters, the fish will continue to descend for a total of 36 minutes until it reaches a depth of \(-37.8\) meters. This further descent of 27 meters shows how deep the fish can swim below sea level over that time period.