Question

The quotient that describes the average rate of change for the diver's depth is 0.99 O meters/second. The quotient that describes the average rate of change for the diver's depth is O -0.99 meters/second. The quotient that describes the average rate of change for the diver's depth isa O -0.49 meters/second. The quotient that describes the average rate of change for the diver's depth is O -3.47 meters/second. A scuba diver was at a depth of 15 meters below the surface when she sawa 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. (1 point

Answer 1

To interpret the rate of change in the diver's depth, we will first determine the total change in depth and then divide by the time taken for the descent.

1. Initial Depth: The diver starts at a depth of 15 meters below the surface, so her initial depth is -15 meters.

2. Final Depth: She descends to a depth that is 10 meters lower than 15 meters, which is -15 - 10 = -25 meters.

3. Change in Depth: The change in depth is the final depth minus the initial depth: \[ \text{Change in Depth} = (-25) - (-15) = -10 \text{ meters} \]

4. Time Taken: The time taken for the descent is 10.1 seconds.

5. Average Rate of Change: The average rate of change is given by the change in depth divided by the time taken: \[ \text{Average Rate of Change} = \frac{\text{Change in Depth}}{\text{Time}} = \frac{-10 \text{ meters}}{10.1 \text{ seconds}} \approx -0.99 \text{ meters/second} \]

Thus, the average rate of change in the diver's depth is approximately -0.99 meters/second. This indicates that the diver is descending at a rate of about 0.99 meters per second.