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 −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 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 −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.
To find the average rate of change in the diver's depth, we need to calculate the change in depth over the change in time.
The change in depth is 10 meters lower, which can be represented as -10 meters (since she descended).
The change in time is 10.1 seconds.
The average rate of change can be calculated by dividing the change in depth by the change in time:
Average Rate of Change = Change in Depth / Change in Time
Plugging in the values, we get:
Average Rate of Change = -10 meters / 10.1 seconds
Calculating this expression 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.
To find the average rate of change for the diver's depth, we need to divide the change in depth by the time it took to make the descent.
The change in depth is 10 meters (10 meters lower) and the time it took to make the descent is 10.1 seconds.
Therefore, the average rate of change for the diver's depth is 10 meters / 10.1 seconds.
To calculate this, divide 10 by 10.1:
10 / 10.1 ≈ 0.99
So, the correct answer is:
The quotient that describes the average rate of change for the diver's depth is 0.99 meters/second.