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)

Question

Make it understandable for kids and very short

Answer 1

Let's start by figuring out how deep the fish needs to go. It is currently at −10.8 meters and needs to reach −37.8 meters.

1. Find the total depth to reach:
   \(-37.8 \text{ meters} - (-10.8 \text{ meters}) = -37.8 + 10.8 = -27 \text{ meters}\)

So, the fish needs to descend 27 meters.

2. Determine how long it takes to descend this depth:
   The fish descends 1.5 meters every 2 minutes.
   To find out how many 1.5-meter descents are needed to reach 27 meters, divide 27 by 1.5:
   \(27 \div 1.5 = 18\) (the fish needs to go down 18 times)

3. Calculate the total time:
   If it descends once every 2 minutes, for 18 descents:
   \(18 \times 2 = 36\) minutes

So, it will take the fish 36 minutes to reach a depth of −37.8 meters.

In simple terms: The fish will take 36 minutes to swim deeper into the ocean until it reaches a depth of 37.8 meters below sea level.

Answer 2

Make it in a sentence

Answer 3

The fish will take 36 minutes to swim down to a depth of 37.8 meters below sea level.

Answer 4

Make a1 sentence of what the answer means

Answer 5

This means that in 36 minutes, the fish will be swimming deeper and will reach a total depth of 37.8 meters below sea level.

Answer 6

And show your work

Answer 7

Sure! Here’s how we can solve the problem step by step:

1. Current Depth: The fish starts at a depth of \(-10.8\) meters.

2. Target Depth: The fish needs to reach \(-37.8\) meters.

3. Find the Total Depth to Descend: \[ -37.8 \text{ meters} - (-10.8 \text{ meters}) = -37.8 + 10.8 = -27 \text{ meters} \] So, the fish needs to descend a total of \(27\) meters.

4. Depth Descended Every 2 Minutes: The fish descends \(1.5\) meters every \(2\) minutes.

5. Calculate the Number of Descents Needed: \[ 27 \div 1.5 = 18 \] This means the fish needs to make \(18\) descents of \(1.5\) meters each.

6. Calculate Total Time: \[ 18 \text{ descents} \times 2 \text{ minutes per descent} = 36 \text{ minutes} \]

Final Result:

The fish will take 36 minutes to swim down to a depth of \(-37.8\) meters below sea level.

Explanation of the Answer:

This means that in 36 minutes, the fish will be swimming deeper and will reach a total depth of 37.8 meters below sea level.

Answer 8

Make it veryyyy short

Answer 9

Work:

1. Current Depth: \(-10.8\) meters
2. Target Depth: \(-37.8\) meters
3. Depth to Descend:
   \(-37.8 - (-10.8) = -27\) meters
4. Descents Needed:
   \(27 \div 1.5 = 18\) descents
5. Total Time:
   \(18 \times 2 = 36\) minutes

Answer: It will take the fish 36 minutes to reach \(-37.8\) meters.

Meaning: In 36 minutes, the fish will be at a total depth of 37.8 meters below sea level.

Answer 10

Make it all in a sentence

Answer 11

The fish will take 36 minutes to reach a depth of 37.8 meters below sea level, descending 27 meters at a rate of 1.5 meters every 2 minutes.