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 0.99 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 −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 −3.47 meters/second.
The correct interpretation of the quotient to describe the rate of change in the diver's depth is:
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
To calculate the average rate of change in the diver's depth, we need to divide the change in depth by the time taken. The change in depth is 10 meters (depth at which she saw something interesting) and the time taken is 10.1 seconds.
So, the average rate of change in the diver's depth is:
10 meters / 10.1 seconds = 0.99 meters/second
Therefore, the correct interpretation of the quotient to describe the rate of change in the diver's depth is:
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
To interpret the quotient and describe 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 calculated by dividing the change in depth by the time taken. In this case, the change in depth is -10 meters (since the diver descended 10 meters lower) and the time taken is 10.1 seconds.
Dividing -10 meters by 10.1 seconds gives us approximately -0.99 meters/second.
Therefore, the correct interpretation of the quotient is:
"The quotient that describes the average rate of change for the diver's depth is -0.99 meters/second."