A scientist uses a submarine to study ocean life.

She begins 125 feet below sea level.

After traveling down for 10 seconds, she's 209 feet below sea level.


Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.

To find the rate of change in the submarine's elevation in feet per second, we need to calculate how much the submarine's depth changes per second.

### Step 1: Identify the initial and final depths.
- **Initial depth**: 125 feet below sea level.
- **Final depth**: 209 feet below sea level.

### Step 2: Determine the total change in depth.
The change in depth is the difference between the final and initial depths:

\[
\text{Change in depth} = \text{Final depth} - \text{Initial depth} = 209 \text{ feet} - 125 \text{ feet} = 84 \text{ feet}
\]

### Step 3: Calculate the rate of change.
The rate of change is the change in depth divided by the time taken:

\[
\text{Rate of change} = \frac{\text{Change in depth}}{\text{Time}} = \frac{84 \text{ feet}}{10 \text{ seconds}} = 8.4 \text{ feet per second}
\]

### Conclusion
The rate of change in the submarine's elevation is **8.4 feet per second**.

Would you like more details on this solution, or do you have any questions?

Here are 5 related questions:
1. What would the rate of change be if the submarine reached 250 feet below sea level in 15 seconds?
2. How long would it take for the submarine to reach 500 feet below sea level at the same rate?
3. If the submarine changes its speed to 6 feet per second, how deep will it be after 20 seconds?
4. How far would the submarine travel in 30 seconds at the rate of 8.4 feet per second?
5. What is the average rate of change if the submarine returns to 100 feet below sea level in 5 seconds?

**Tip:** When calculating rates, always ensure that the units are consistent (e.g., feet per second, meters per minute) to avoid confusion.

Learn how to calculate the rate of change in the submarine's depth from 125 feet to 209 feet below sea level. This problem involves determining the rate of change using basic linear equations and is suitable for students in Grades 7-9.

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