Applications of Dividing Rational Numbers Quick Check
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Question
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 −0.99 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 descr
ibes 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.
To interpret the quotient that describes the rate of change in the diver's depth, we need to divide the change in depth by the time it took for the diver to make the descent.
In this case, the depth change is given as 10 meters lower and the time taken is 10.1 seconds. To find the rate of change in meters per second, we divide the depth change by the time taken:
Rate of change = Depth change / Time taken
Rate of change = -10 meters / 10.1 seconds
Now we can calculate the quotient:
Rate of change = -0.99 meters/second
So, the correct answer is: "The quotient that describes the average rate of change for the diver’s depth is negative 0.99 meters/second."