A scuba driver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made the decent in 10.1 seconds. Interpret the quotient to describe the rate of change in the driver's depth. Give your reason to the nearest hundredth.
A. The quotient that decreases the average rate of change for the driver's depth is 0.99 meters/seconds.
B. The quotient that describes the average rate of change for the driver's depth is -0.94 meters/second
C. The quotient that best describes the average rate of change for the driver's depth is -3.47 meters/ second.
D. The quotient that describes the average rate of change for the driver's depth is -0.99 meters/second
The correct answer is D. The quotient that describes the average rate of change for the driver's depth is -0.99 meters/second. This is because the difference in depth is 10 meters and the time taken is 10.1 seconds. Therefore, the average rate of change in depth is -10 meters / 10.1 seconds = -0.99 meters/second.
To find the average rate of change in the driver's depth, we divide the change in depth (in meters) by the change in time (in seconds).
The change in depth is 10 meters (the depth at which something interesting was seen).
The change in time is 10.1 seconds (the time it took to make the descent).
Therefore, the quotient to describe the rate of change in the driver's depth is:
10 meters / 10.1 seconds
Simplifying this division, we get:
0.990099009900990 m/s (rounded to the nearest hundredth)
So, the answer is A. The quotient that decreases the average rate of change for the driver's depth is 0.99 meters/second.
To find the average rate of change in the driver's depth, we need to calculate the change in depth divided by the time taken.
The change in depth is given as 10 meters, and the time taken is given as 10.1 seconds.
So, the average rate of change in depth is 10 meters / 10.1 seconds.
To calculate this quotient, divide 10 meters by 10.1 seconds:
10 meters / 10.1 seconds = 0.990099 meters/second, rounded to the nearest hundredth.
Therefore, the correct answer is A. The quotient that describes the average rate of change for the driver's depth is 0.99 meters/second.