A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. she made the descent in 10.1 seconds.  Interpret the quotient to describe the rate of change in the diver's depth. Give your answer to the nearest hundredth.

To find the rate of change in the scuba diver's depth, we need to calculate the quotient of the change in depth divided by the time taken. This will give us the rate of descent in meters per second.

Here’s the step-by-step solution:

1. **Change in depth**: The diver starts at 15 meters below the surface and descends 10 meters lower, so the total change in depth is:
   \[
   \text{Change in depth} = 10 \, \text{meters}
   \]

2. **Time taken**: The time taken for the descent is:
   \[
   \text{Time} = 10.1 \, \text{seconds}
   \]

3. **Rate of change in depth**: The rate of change is the change in depth divided by the time taken:
   \[
   \text{Rate of descent} = \frac{\text{Change in depth}}{\text{Time}} = \frac{10}{10.1}
   \]
   Now, let's calculate this:
   \[
   \frac{10}{10.1} \approx 0.99 \, \text{meters per second}
   \]

### Final Answer:
The rate of change in the diver's depth is approximately **0.99 meters per second**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the rate of change differ if the diver took 5 seconds instead of 10.1 seconds?
2. What is the average speed if the diver ascended 10 meters in the same time?
3. How does rate of change in depth relate to velocity in physics terms?
4. How can we represent this rate of change graphically?
5. What would be the rate if the diver descended twice as far in the same amount of time?

**Tip**: When calculating rates, always divide the change in one quantity by the corresponding change in time.

A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver's depth. Give your answer to the nearest hundredth.

Discover how to calculate the rate of descent of a scuba diver who travels 10 meters in 10.1 seconds. This step-by-step solution covers core concepts like rate of change, division, and decimal calculations. Suitable for Grades 6-8 students.

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