Question
A fish is swimming at a location of -9.5 meters, or 9.5 meters below sea level. Every 3 minutes it descends 1.5 meters. How long will it take to reach a depth of --24.5 meters? * 10 minutes 30 minutes 49 minutes 60 minutes
Answers
GPT-4o mini
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.
1. **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.
2. **Determine the rate of descent:**
The fish descends 1.5 meters every 3 minutes.
3. **Calculate how many 1.5 meter descents will be needed:**
To find out how many intervals of 1.5 meters fit into 15 meters:
\[
\frac{15 \text{ meters}}{1.5 \text{ meters/interval}} = 10 \text{ intervals}
\]
4. **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.
1. **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.
2. **Determine the rate of descent:**
The fish descends 1.5 meters every 3 minutes.
3. **Calculate how many 1.5 meter descents will be needed:**
To find out how many intervals of 1.5 meters fit into 15 meters:
\[
\frac{15 \text{ meters}}{1.5 \text{ meters/interval}} = 10 \text{ intervals}
\]
4. **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.