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.
To find the time it will take for the fish to reach a depth of -37.8 meters, we can set up an equation.
Let "t" represent the time in minutes it will take for the fish to reach a depth of -37.8 meters.
Since the fish descends 1.5 meters every 2 minutes, we can calculate the total number of times it will descend by dividing the total distance to descend (-37.8 meters - (-10.8 meters) = -27 meters) by the descent rate (1.5 meters/2 minutes).
-27 meters ÷ (1.5 meters/2 minutes) = -27 meters ÷ 0.75 meters per minute = -36 minutes
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
This means that the fish will need to descend for 36 minutes in order to reach a depth of -37.8 meters below sea level.
To solve this problem, we need to find the time it takes for the fish to reach a depth of -37.8 meters.
First, we need to find the difference between the current depth of the fish and the desired depth: -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
Next, we divide the difference in depth (-27 meters) by the rate at which the fish descends (1.5 meters every 2 minutes) to find the time it takes: -27 meters ÷ 1.5 meters/2 minutes = -27 meters ÷ 1.5 meters/2 minutes = -27 meters × 2/1.5 meters/minutes = -54 minutes.
The result is -54 minutes, which means it will take the fish 54 minutes to reach a depth of -37.8 meters. The negative sign indicates that the fish is swimming downwards below sea level.
To solve this word problem, we need to find out how many times the fish descends by 1.5 meters until it reaches a depth of -37.8 meters.
First, we calculate the depth the fish needs to descend by: -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
Next, we divide the depth the fish needs to descend by the amount it descends every 2 minutes: -27 meters ÷ 1.5 meters = -18.
This means the fish needs to descend 18 times by 1.5 meters to reach a depth of -37.8 meters.
Since the fish descends by 1.5 meters every 2 minutes, it will take the fish 18 x 2 = 36 minutes to reach a depth of -37.8 meters.
In conclusion, it will take the fish 36 minutes to reach a depth of -37.8 meters.