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:
   $27÷1.5=18$ (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: $$27÷1.5=18$$ 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:
   $27÷1.5=18$ 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.