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)

3 answers

The quotient in this context would be the change in depth divided by the time it took to make the descent.

Change in depth = 10 meters
Time = 10.1 seconds

Rate of change in depth = Change in depth / Time
Rate of change in depth = 10 meters / 10.1 seconds

To find the quotient to the nearest hundredth, we can divide 10 by 10.1:

Rate of change in depth = 10 / 10.1 ≈ 0.99

Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
negative or positive?
Apologies for not clarifying that in the previous response. In this case, since the diver is descending below the surface, the rate of change in the diver's depth would be negative.

Therefore, the correct interpretation of the quotient is that the diver's depth is changing at a rate of approximately -0.99 meters per second.