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)
Item 2
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Item 3
O 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 - 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 0.09
The correct answer is: 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. So the diver is descending at a rate of approximately 0.99 meters per second.
To calculate the average 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 10 meters (since the diver saw something interesting 10 meters lower).
The change in time is 10.1 seconds.
Therefore, the average rate of change in the diver's depth is 10 meters / 10.1 seconds = 0.99 meters/second.
So the correct answer is:
- The quotient that describes the average rate of change for the diver's depth is - 0.99 meters/second.
To determine the average rate of change in the diver's depth, we need to find the change in depth and divide it by the time taken to make that change.
In this case, the diver descended 10 meters in 10.1 seconds. The change in depth is -10 meters because the diver went lower in depth. And the time taken is 10.1 seconds.
To calculate the average rate of change, we divide the change in depth (-10 meters) by the time taken (10.1 seconds):
Average rate of change = change in depth / time taken
= -10 meters / 10.1 seconds
Calculating this gives us approximately -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.