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.(1 point)
Responses
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 3.47 meters/second.
The correct response is:
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
To find the average rate of change in the diver's depth, we divide the change in depth by the time it took.
The change in depth is 10 meters (10 meters lower) and the time taken is 10.1 seconds.
Dividing the change in depth (-10 meters) by the time taken (10.1 seconds), we get approximately -0.99 (to the nearest hundredth).
So, the correct answer is:
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.