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 mean. please explain great
We can approach this problem by finding the difference between the initial depth and the target depth and then dividing it by the descent rate.
The initial depth is -10.8 meters and the target depth is -37.8 meters. The difference between these two depths is (-37.8) - (-10.8) = -27 meters.
The fish descends at a rate of 1.5 meters every 2 minutes. To find out how many times the fish needs to descend by 1.5 meters to reach a depth of -27 meters, we divide -27 by 1.5.
-27 / 1.5 = -18
This means that the fish needs to descend 18 times to reach a depth of -27 meters. Since each descent takes 2 minutes, the total amount of time needed for the fish to reach a depth of -27 meters is 18 * 2 = 36 minutes.
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
To summarize, the fish will take 36 minutes to descend from -10.8 meters to -37.8 meters, with each descent being 1.5 meters.
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 mean
To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to calculate the number of descents needed and then multiply it by the descent time.
The initial depth is -10.8 meters and the target depth is -37.8 meters. The difference between these two depths is (-37.8) - (-10.8) = -27 meters.
The fish descends at a rate of 1.5 meters every 2 minutes. To find the number of descents needed, we divide -27 by 1.5:
-27 / 1.5 = -18
Therefore, the fish needs to descend 18 times to reach a depth of -37.8 meters.
Since each descent takes 2 minutes, we can find the total time needed by multiplying the number of descents by the descent time:
18 * 2 = 36 minutes
Hence, it will take the fish 36 minutes to reach a depth of -37.8 meters.
This means that the fish will continue descending every 2 minutes for a total of 36 minutes until it reaches a depth of -37.8 meters.
To solve this problem, we can use the information given to find the time it will take for the fish to reach a depth of -37.8 meters.
Let's call the initial depth of the fish -10.8 meters and the final depth -37.8 meters. The fish descends 1.5 meters every 2 minutes.
To find the number of times the fish needs to descend 1.5 meters to reach a depth of -37.8 meters, we can subtract the initial depth from the final depth and divide by the rate of descent:
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Now, we divide -27 meters by the rate of descent (-1.5 meters every 2 minutes) to find the number of times the fish needs to descend:
-27 meters ÷ (-1.5 meters/2 minutes) = (-27 meters) ÷ (-0.75 meters/minute)
Dividing a negative number by a negative number gives a positive result:
= 36 minutes
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
The answer means that it will take the fish 36 minutes to descend from its initial depth of -10.8 meters to a depth of -37.8 meters, given that it descends 1.5 meters every 2 minutes.
To solve this word problem, we need to determine how many times the fish will descend by 1.5 meters until it reaches a depth of -37.8 meters.
Let's start by finding the difference in depth between the starting point (-10.8 meters) and the target depth (-37.8 meters). This can be calculated as:
Difference in depth = Target depth - Starting point
= -37.8 meters - (-10.8 meters)
= -37.8 meters + 10.8 meters
= -27 meters
Next, we need to find how many times the fish will descend by 1.5 meters in order to cover a difference of -27 meters. To do this, we can divide the difference in depth by the descent rate:
Number of descents = Difference in depth / Descent rate
= -27 meters / 1.5 meters
= -18
However, we have to consider that the fish starts already at a certain depth. So we need to subtract one descent from the result above:
Total number of descents = Number of descents - 1
= -18 - 1
= -19
Since the problem is asking for the time it takes for the fish to reach the target depth, we can multiply the number of descents by the time it takes for each descent. In this case, the time for each descent is given as 2 minutes:
Total time = Total number of descents * Time per descent
= -19 * 2 minutes
= -38 minutes
Now, let's explain the answer:
The fish will take 38 minutes to reach a depth of -37.8 meters. This means that after descending at a rate of 1.5 meters every 2 minutes, the fish will reach a depth of -37.8 meters in 38 minutes below sea level.