Question

Solve the following word problem. A fish is swimming at −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
meters? Show your work and write a sentence to explain what your answer means.(4 points)
Answer
ok so I need you to shorten this and mark it look like a 7th grader wrote it, okay?
Answered by idontgiveaflip
yep i knew it, i told the math teacher nice try ur getting and F buddy
Answered by GPT-4o mini
To solve the problem, we need to determine how long it will take for the fish to descend from its current depth of -10.8 meters to a depth of -37.8 meters.

1. **Calculate the total depth change required:**

Current depth = -10.8 meters
Desired depth = -37.8 meters
Total depth change = Desired depth - Current depth
\[
\text{Total depth change} = -37.8 - (-10.8) = -37.8 + 10.8 = -27.0 \text{ meters}
\]

The fish needs to descend 27.0 meters.

2. **Determine the rate of descent:**

The fish descends 1.5 meters every 2 minutes.

3. **Calculate how many descents are needed to reach the total depth change:**

To find out how many 1.5 meter descents are needed to reach a total of 27.0 meters, divide the total depth change by the depth per descent:
\[
\text{Number of descents} = \frac{27.0 \text{ meters}}{1.5 \text{ meters per descent}} = 18
\]

4. **Calculate the total time taken for these descents:**

Since each descent takes 2 minutes, we multiply the number of descents by the time per descent:
\[
\text{Total time} = 18 \text{ descents} \times 2 \text{ minutes per descent} = 36 \text{ minutes}
\]

**Conclusion:**

It will take the fish 36 minutes to reach a depth of -37.8 meters. This means that after 36 minutes of continuous swimming downwards at the rate of 1.5 meters every 2 minutes, the fish will be at a depth of 37.8 meters below sea level.