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 −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 −0.99 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 correct response is:
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. But hey, at least she's not sinking too fast!
The correct answer is:
The quotient that describes the average rate of change for the diver's depth is -0.99 meters/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 using the given information.
The average rate of change can be calculated by dividing the change in depth by the time taken.
Change in depth: The diver descended from a depth of 15 meters to a depth that is 10 meters lower, which is 15 - 10 = 5 meters.
Time taken: The diver made the descent in 10.1 seconds.
Now, let's calculate the average rate of change:
Average rate of change = Change in depth / Time taken
= 5 meters / 10.1 seconds
Calculating this, we find that the average rate of change is approximately 0.4950 meters/second.
Rounding this to the nearest hundredth, the quotient that describes the average rate of change for the diver's depth is approximately 0.49 meters/second.
Therefore, the correct answer is:
The quotient that describes the average rate of change for the diver's depth is 0.49 meters/second.