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)
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 2-minute intervals it takes for the fish to descend from -10.8 meters to -37.8 meters.
The difference in depth between -10.8 meters and -37.8 meters is 37.8 - 10.8 = 27 meters.
Now, we divide the difference in depth (27 meters) by the rate at which the fish descends per 2 minutes (1.5 meters) to find the number of 2-minute intervals it takes.
27 meters / 1.5 meters = 18 intervals.
Therefore, it takes 18 intervals of 2 minutes each for the fish to reach a depth of -37.8 meters.
This means it will take the fish a total of 2 minutes x 18 intervals = 36 minutes to reach a depth of -37.8 meters.
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Given that the fish descends 1.5 meters every 2 minutes, we need to determine how many times it will descend 1.5 meters to reach a depth of -37.8 meters.
The difference in depth between -10.8 meters and -37.8 meters is 37.8 - 10.8 = 27 meters.
To find out how many times the fish needs to descend 1.5 meters, we divide the total difference in depth by the descent rate:
27 meters / 1.5 meters = 18.
Therefore, the fish needs to descend 1.5 meters 18 times to reach a depth of -37.8 meters.
Since the fish descends 1.5 meters every 2 minutes, it will take 18 times 2 minutes = 36 minutes for the fish to reach a depth of -37.8 meters.
Hence, the fish will take 36 minutes to reach a depth of -37.8 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 means.(4 points) put it in your own words
A fish is initially swimming at a depth of -10.8 meters below sea level. It descends further by 1.5 meters every 2 minutes. We want to know how much time it will take for the fish to reach a depth of -37.8 meters.
To solve this, we need to find out how many times the fish needs to descend 1.5 meters to reach a difference in depth of 27 meters (the difference between -10.8 meters and -37.8 meters).
Since the fish descends by 1.5 meters every 2 minutes, we divide the total difference in depth (27 meters) by the descent rate (1.5 meters) to find the number of times it needs to descend:
27 meters / 1.5 meters = 18.
So, the fish needs to descend 18 times to reach a depth of -37.8 meters.
Since each descent takes 2 minutes, we multiply the number of descents (18) by the time it takes for each descent (2 minutes) to get the total time:
18 * 2 = 36 minutes.
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
In simpler terms, the fish will take 36 minutes to swim from a depth of -10.8 meters to a depth of -37.8 meters below sea level.
To solve this problem, we need to calculate how many times the fish will descend 1.5 meters before reaching a depth of -37.8 meters.
The initial depth of the fish is -10.8 meters, and it needs to reach a depth of -37.8 meters. The difference between these two depths is:
-37.8 - (-10.8) = -37.8 + 10.8 = -27
Each time the fish descends, it goes 1.5 meters deeper. Therefore, the number of times the fish needs to descend is:
-27 / 1.5 = -18
Since the fish descends every 2 minutes, the total time it will take for the fish to reach a depth of -37.8 meters is:
-18 * 2 = -36 minutes
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
Explanation: The answer means that it will take the fish 36 minutes to swim from a depth of -10.8 meters to a depth of -37.8 meters, descending 1.5 meters every 2 minutes.
To solve this word problem, we can start by finding the total depth the fish needs to descend. The fish is already at a depth of -10.8 meters and needs to reach a depth of -37.8 meters.
The difference in depths is (-37.8) - (-10.8) = -37.8 + 10.8 = -27 meters.
Next, we can find out how many 2-minute intervals are needed to cover this distance. The fish descends 1.5 meters every 2 minutes, so we divide the total distance (-27 meters) by the descent rate (1.5 meters per 2 minutes).
-27 meters ÷ 1.5 meters/2 minutes = -27 ÷ 1.5 = -18 intervals.
Since the question asks for the time it takes for the fish to reach a depth of -37.8 meters, the answer is 18 intervals of 2 minutes each, which is equal to 36 minutes.
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.