A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver's depth. Give you answer to the nearest hundredth
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 change in time.
The change in depth is 10 meters (as specified in the problem), and the change in time is 10.1 seconds.
To find the rate of change in the diver's depth, we divide the change in depth by the change in time:
Rate of change in depth = Change in depth / Change in time
= 10 meters / 10.1 seconds
Evaluating this expression, we get:
Rate of change in depth ≈ 0.99 meters per second
Therefore, the quotient of 0.99 describes the rate of change in the diver's depth.
Positive or negative
The rate of change in the diver's depth, 0.99 meters per second, is positive.
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.
To find the rate of change in the diver's depth, we need to calculate the difference in depth and divide it by the time it took for the descent.
The difference in depth is given as 10 meters, and the time taken is 10.1 seconds.
Rate of change in depth = Difference in depth / Time taken
Rate of change in depth = 10 meters / 10.1 seconds
Using a calculator, we can find that the quotient is approximately 0.99.
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second (to the nearest hundredth).
To interpret the quotient and describe the rate of change in the diver's depth, we need to calculate the average rate of change in the diver's depth as she made the descent. The average rate of change can be found by dividing the change in depth by the time taken.
First, let's calculate the change in depth. The diver started at a depth of 15 meters below the surface and saw something interesting at a depth of 10 meters, so the change in depth is 15 - 10 = 5 meters.
Next, let's calculate the time taken. The diver made the descent in 10.1 seconds.
To find the average rate of change, we divide the change in depth (5 meters) by the time taken (10.1 seconds):
Average Rate of Change = Change in Depth / Time Taken
Average Rate of Change = 5 meters / 10.1 seconds
Calculating this, we get:
Average Rate of Change = 0.495 m/s
Therefore, the quotient 0.495 can be interpreted as the rate of change in the diver's depth, which means the diver's depth decreased by approximately 0.495 meters per second during the descent.
So, to describe the rate of change in the diver's depth, we would say that the depth decreases at a rate of approximately 0.495 meters per second.