scuba diver was at a Def a 15 m below the surface when she saw something interesting about 10 m lower. She made the decent in 10.1 seconds. Interpret the quotient of describe the rate of change in the diver steps give your answer to the nearest hundredth.
To interpret the quotient that describes the rate of change in the diver's depth, we need to find the difference in depth and the time taken for the descent.
The difference in depth is the depth of the interesting thing observed (10 m lower) minus the initial depth of the diver (15 m below the surface).
Difference in depth = 10 m - (-15 m) = 25 m
The time taken for the descent is given as 10.1 seconds.
To find the rate of change, we divide the difference in depth by the time taken:
Rate of change = Difference in depth / Time taken
Rate of change = 25 m / 10.1 s
Using a calculator, we can find the rate of change to the nearest hundredth:
Rate of change ≈ 2.48 m/s
Therefore, the rate of change in the diver's depth is approximately 2.48 m/s.
To interpret the quotient and describe the rate of change in the diver's depth, we can use the formula:
Rate of change = Change in distance / Change in time
In this case, the change in distance is 10 meters (as the diver saw something interesting about 10m lower) and the change in time is 10.1 seconds (as the descent took 10.1 seconds).
Substituting the values into the formula:
Rate of change = 10 meters / 10.1 seconds
Evaluating this expression gives us:
Rate of change ≈ 0.99 meters per second
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.