A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She's 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 diver's depth, we need to divide the change in depth by the change in time.
The change in depth is 15 meters - 10 meters = 5 meters.
The change in time is 10.1 seconds.
The quotient is therefore 5 meters / 10.1 seconds = 0.49 meters/second.
So, the rate of change in the diver's depth is approximately 0.49 meters/second.
To interpret the quotient that describes the rate of change in the diver's depth, you need to calculate the average rate of change in the diver's depth by dividing the change in depth by the change in time.
1. Calculate the change in depth: Since the diver descended to a depth 10 meters lower, the change in depth would be 10 meters.
2. Calculate the change in time: The diver made the descent in 10.1 seconds.
3. Divide the change in depth by the change in time: Divide 10 meters by 10.1 seconds to get the rate of change in depth.
Rate of change in depth = 10 meters / 10.1 seconds
4. Perform the calculation: Using a calculator or by dividing manually, the result is approximately 0.99 meters per second.
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
To interpret the quotient that describes the rate of change in the diver's depth, we need to calculate the average rate of change.
The average rate of change can be found by dividing the change in depth by the change in time.
Change in depth = 10 meters (depth at which the interesting thing was seen)
Change in time = 10.1 seconds (time taken for the descent)
Average rate of change = Change in depth / Change in time
Plugging in the values:
Average rate of change = 10 meters / 10.1 seconds
Calculating the quotient:
Average rate of change = 0.99 meters/second
Therefore, the quotient 0.99 meters/second represents the rate of change in the diver's depth.