To find the rate of change in the diver's depth, we first need to determine the total change in depth and then divide that by the time taken for the descent.
1. **Initial depth of the diver**: -15 meters (below the surface)
2. **Final depth after descending further**: -15 meters - 10 meters = -25 meters (below the surface)
3. **Change in depth**:
\[
\Delta d = \text{Final depth} - \text{Initial depth} = -25 - (-15) = -25 + 15 = -10 \text{ meters}
\]
4. **Time taken**: 10.1 seconds
5. **Rate of change of depth**:
\[
\text{Rate} = \frac{\Delta d}{\text{Time}} = \frac{-10 \text{ meters}}{10.1 \text{ seconds}} \approx -0.9901 \text{ m/s}
\]
Rounding to the nearest hundredth, the rate of change in the diver’s depth is approximately **-0.99 m/s**.
Since the rate is negative, this indicates that the diver is descending, which is consistent with the situation described.