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 divers depth. Give your answer to the nearest hundredth
To describe the rate of change in the diver's depth, we can find the quotient of the change in depth divided by the time taken. The change in depth is 10 meters (the depth at which she saw something interesting) and the time taken is 10.1 seconds.
Quotient = Change in depth / Time taken
Quotient = 10 meters / 10.1 seconds
Quotient = 0.99 meters/second
Therefore, the rate of change in the diver's depth is 0.99 meters/second.
Would it be -0.99 or 0.99
Apologies for the confusion. The rate of change in the diver's depth is a decrease, as the diver is descending. Therefore, the quotient should be negative. Thus, the correct interpretation is:
The rate of change in the diver's depth is approximately -0.99 meters/second.
To find the rate of change in the diver's depth, we need to divide the change in depth by the time taken.
The change in depth is 10 meters (as she descended 10 meters lower) and the time taken is 10.1 seconds.
To find the rate of change, we divide the change in depth by the time taken:
Rate of change = Change in depth / Time taken
Rate of change = 10 meters / 10.1 seconds
Calculating the quotient, we have:
Rate of change = 0.9901 meters/second
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
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 time it took to make the descent.
The change in depth is 10 meters (since the diver saw something interesting about 10 meters lower). The time it took to make the descent is 10.1 seconds.
To calculate the rate of change, we can divide the change in depth (10 meters) by the time (10.1 seconds):
Rate of change = Change in depth / Time
Rate of change = 10 meters / 10.1 seconds
To the nearest hundredth, the quotient is approximately 0.99.
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.