a whale is swimming at a depth of 15 meters below the surface. it swims up toward the surface and arrives there 9.5 seconds later. find the quotient thar best describes the rate of change in the whales depth. give your answer to the nearest hundredth
To find the rate of change in the whale's depth, we divide the change in depth by the time taken.
The change in depth is from 15 meters below the surface to the surface, which is a total of 15 meters.
The time taken is 9.5 seconds.
Therefore, the rate of change in the whale's depth is 15 meters / 9.5 seconds = 1.58 meters/second (rounded to the nearest hundredth).
To find the rate of change in the whale's depth, we need to calculate the difference in depth divided by the time it takes.
Given that the whale swims up from a depth of 15 meters to the surface (depth = 0 meters) in 9.5 seconds, we can subtract the final depth from the initial depth:
Initial depth = 15 meters
Final depth = 0 meters
Change in depth = Final depth - Initial depth
Change in depth = 0 meters - 15 meters
Change in depth = -15 meters
Now, we can divide the change in depth by the time taken:
Rate of change = Change in depth / Time taken
Rate of change = -15 meters / 9.5 seconds
Calculating this, we get:
Rate of change = -1.58 meters per second
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately -1.58 meters per second (to the nearest hundredth).
To find the quotient that best describes the rate of change in the whale's depth, we need to calculate the average velocity of the whale as it swims from a depth of 15 meters to the surface within the given time of 9.5 seconds.
We can use the formula: Average Velocity = Change in Distance / Change in Time.
In this case, the change in distance is the difference between the initial depth (15 meters) and the final depth (surface level, 0 meters). Therefore, the change in distance is 15 meters.
The change in time is given as 9.5 seconds.
Substituting these values into the formula, we have:
Average Velocity = 15 meters / 9.5 seconds.
Evaluating this division, we get:
Average Velocity ≈ 1.58 meters per second.
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters per second (to the nearest hundredth).