To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to determine the total depth the fish needs to descend from its starting depth of -10.8 meters to -37.8 meters.
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Calculate the total depth change required:
\[ \text{Total depth change} = \text{Final depth} - \text{Starting depth} \] \[ \text{Total depth change} = -37.8 - (-10.8) \] \[ \text{Total depth change} = -37.8 + 10.8 = -27.0 \text{ meters} \]
The fish needs to descend 27.0 meters.
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Determine the rate of descent:
The fish descends 1.5 meters every 2 minutes. Therefore, we can calculate how many meters it descends in one minute:
\[ \text{Rate of descent} = \frac{1.5 \text{ meters}}{2 \text{ minutes}} = 0.75 \text{ meters per minute} \]
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Calculate the time required to descend 27.0 meters:
We can now find out how long it will take to descend that total depth:
\[ \text{Time} = \frac{\text{Total depth change}}{\text{Rate of descent}} \] \[ \text{Time} = \frac{27.0 \text{ meters}}{0.75 \text{ meters per minute}} \] \[ \text{Time} = 36 \text{ minutes} \]
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Conclusion:
It will take the fish 36 minutes to reach a depth of -37.8 meters.
Final sentence: The fish will take 36 minutes to swim down from a depth of -10.8 meters to -37.8 meters, descending at a rate of 1.5 meters every 2 minutes.