To find out how long it will take for the fish to reach a depth of -37.8 meters, we first determine the total distance it needs to descend from its starting depth of -10.8 meters to -37.8 meters.
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Calculate the difference in depth: \[ -37.8 - (-10.8) = -37.8 + 10.8 = -27 \text{ meters} \] So, the fish needs to descend 27 meters.
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The fish descends 1.5 meters every 2 minutes. To find out how many 1.5 meter descents are needed to reach 27 meters: \[ \text{Number of descents} = \frac{27 \text{ meters}}{1.5 \text{ meters/descend}} = 18 \text{ descents} \]
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Since each descent takes 2 minutes, the total time to reach the desired depth is: \[ \text{Total time} = 18 \text{ descents} \times 2 \text{ minutes/descend} = 36 \text{ minutes} \]
Thus, it will take the fish 36 minutes to reach a depth of -37.8 meters.