To find out how long it will take for the fish to descend from -9.5 meters to -24.5 meters, we first need to calculate the total distance it needs to descend.
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Calculate the distance to descend: \[ -24.5 \text{ meters} - (-9.5 \text{ meters}) = -24.5 + 9.5 = -15 \text{ meters} \]
The fish needs to descend 15 meters.
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Determine the rate of descent: The fish descends 1.5 meters every 3 minutes.
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Calculate how many 1.5 meter descents will be needed: To find out how many intervals of 1.5 meters fit into 15 meters: \[ \frac{15 \text{ meters}}{1.5 \text{ meters/interval}} = 10 \text{ intervals} \]
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Calculate the total time: Each interval takes 3 minutes, so: \[ 10 \text{ intervals} \times 3 \text{ minutes/interval} = 30 \text{ minutes} \]
Thus, it will take the fish 30 minutes to reach a depth of -24.5 meters.
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