Solve the word problem a fish is swimming at -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 work
To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to determine how many times it descends another 1.5 meters from -10.8 meters until it reaches -37.8 meters.
First, let's find the difference between -10.8 meters and -37.8 meters:
-37.8 - (-10.8) = -37.8 + 10.8 = -27
Now, let's divide this difference by the descent rate of the fish to determine how many times it descends another 1.5 meters:
-27 / 1.5 = -18
So the fish needs to descend another 1.5 meters 18 times.
Since the fish descends another 1.5 meters every 2 minutes, to find out how long it will take for the fish to reach a depth of -37.8 meters, we multiply the number of descents by the descent time:
18 * 2 = 36
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
To solve the problem, we can use the formula: time = distance / rate
The fish descends another 1.5 meters every 2 minutes. So, the rate of descent is -1.5 meters / 2 minutes, which can be simplified to -0.75 meters/minute.
The fish needs to reach a depth of -37.8 meters. Its initial depth is -10.8 meters. So, the distance to cover is (-37.8) - (-10.8) = -37.8 + 10.8 = -27 meters.
Using the formula, we can find the time it takes for the fish to descend 27 meters:
time = distance / rate
time = (-27 meters) / (-0.75 meters/minute)
When dividing by a fraction, we can multiply by the reciprocal of that fraction:
time = (-27 meters) * (1 / (-0.75 meters/minute))
Simplifying, we get:
time = (-27 meters) * (-1.33 minutes/meter)
time = 35.91 minutes
Therefore, it will take the fish approximately 35.91 minutes to reach a depth of -37.8 meters.
To solve this word problem, we need to calculate how many times the fish descends by 1.5 meters until it reaches a depth of -37.8 meters.
First, let's define the initial depth of the fish as -10.8 meters and the target depth as -37.8 meters.
To determine how many times the fish descends by 1.5 meters, we can find the difference between the initial and target depths and divide it by 1.5.
The difference is calculated as follows:
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Now, let's divide the difference by 1.5 to find out how many descents the fish needs to make:
-27 meters / 1.5 meters = -18
Since we can't have a negative number of descents, we need to take the absolute value of -18, which gives us 18. Therefore, the fish needs to descend 18 times to reach a depth of -37.8 meters.
Lastly, we need to multiply the number of descents by the time it takes for each descent, which is 2 minutes. Multiplying 18 by 2 gives us:
18 descents * 2 minutes/descent = 36 minutes
So, it will take the fish 36 minutes to reach a depth of -37.8 meters.