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)

5 answers

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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My apologies for the mistake in my previous response. Let's solve the problem correctly.

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.
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