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
One of theses will be the answer
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 −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 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 −0.99 meters/second.
To calculate the average rate of change in the diver's depth, we can use the formula:
Average rate of change = Change in depth / Time taken
In this case, the change in depth is 10 meters lower (negative change) and the time taken is 10.1 seconds.
Substituting these values into the formula, we have:
Average rate of change = -10 meters / 10.1 seconds
Calculating this, we get approximately -0.99 meters/second.
Therefore, the correct interpretation is:
The quotient that describes the average rate of change for the diver's depth is -0.99 meters/second.
Or, alternatively:
The quotient that describes the average rate of change for the diver's depth is negative 0.99 meters/second.