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)
The rate of change in the diver's depth is equal to the change in depth divided by the time taken to make the descent.
The change in depth is 10 meters and the time taken to make the descent is 10.1 seconds.
Therefore, the rate of change in the diver's depth is approximately 10 meters / 10.1 seconds = 0.99 meters per second.
To find the rate of change in the diver's depth, we need to calculate the quotient of the change in depth over the time taken.
The change in depth is 10 meters lower, which means it is negative since the diver went deeper. So the change in depth is -10 meters.
The time taken is 10.1 seconds.
Now, we can calculate the rate of change using the formula:
Rate of change = Change in depth / Time taken
Substituting the values we know:
Rate of change = -10 meters / 10.1 seconds
Calculating this quotient:
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.
To find 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 the distance between the diver's starting depth (15 meters below the surface) and the depth where she saw something interesting (10 meters lower). So, the change in depth is 15 meters - 10 meters = 5 meters.
The time it took to make the descent is given as 10.1 seconds.
To calculate the rate of change, we divide the change in depth by the time:
Rate of change = Change in depth / Time
Rate of change = 5 meters / 10.1 seconds = 0.495 s/m (rounded to the nearest hundredth).
So, the rate of change in the diver's depth is approximately 0.495 s/m. This means that for every second that passes, the diver descends approximately 0.495 meters.