To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to figure out how deep the fish wants to go starting from its current depth of -10.8 meters.
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Calculate the total distance the fish needs to descend:
- Desired depth: -37.8 meters
- Current depth: -10.8 meters
We can find the difference by subtracting: \[ -37.8 \text{ meters} - (-10.8 \text{ meters}) = -37.8 + 10.8 = -27 \text{ meters} \] So, the fish needs to descend 27 meters.
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Determine how quickly the fish is descending: The fish descends 1.5 meters every 2 minutes.
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Figure out how many 1.5 meter descents it needs to reach 27 meters: To find out how many times the fish descends 1.5 meters, we divide the total distance it needs to go by how far it goes every time: \[ \frac{27 \text{ meters}}{1.5 \text{ meters}} = 18 \] This means the fish needs to descend 1.5 meters a total of 18 times.
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Calculate the total time it will take: Since it takes 2 minutes for each descent, we multiply the number of descents by the time per descent: \[ 18 \text{ descents} \times 2 \text{ minutes/descend} = 36 \text{ minutes} \]
So, it will take the fish 36 minutes to reach a depth of -37.8 meters.
In a sentence: It will take the fish 36 minutes to swim down to a depth of 37.8 meters below sea level.
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