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.
The quotient can be interpreted as the rate of change in the diver's depth. In this case, the quotient is calculated by dividing the change in depth (10 meters) by the time it took (10.1 seconds).
The quotient in this case is approximately 0.99 meters per second. This means that the diver's depth was changing at a rate of approximately 0.99 meters per second as she descended to see something interesting.
To interpret the quotient and describe the rate of change in the driver's depth, we need to calculate the rate at which the driver descended.
The rate of change is determined by dividing the change in depth by the time it took to make that change. In this case, the driver descended 10 meters in 10.1 seconds.
The quotient is calculated as:
Rate of change = Change in depth / Time
In this case, the change in depth is 10 meters, and the time taken is 10.1 seconds. Therefore, the rate of change in the driver's depth is:
Rate of change = 10 meters / 10.1 seconds
Simplifying this equation gives us:
Rate of change ≈ 0.99 meters/second
So, the quotient 0.99 meters/second describes the rate of change in the driver's depth.
To interpret the quotient and describe the rate of change in the driver's depth, we need to calculate the average rate of descent. The quotient you provided is the change in depth (10 meters) divided by the time it took to make the descent (10.1 seconds).
Average rate of descent = Change in depth / Time taken
Therefore, the average rate of descent is:
Average rate of descent = 10 meters / 10.1 seconds
To get the answer, divide 10 meters by 10.1 seconds:
Average rate of descent ≈ 0.9901 meters per second
So, the quotient describes the rate of change in the driver's depth as approximately 0.9901 meters per second.