A whale is swimming at a current depth of 15 meters below the surface. It swims up toward the surface and arrives there 9.5 seconds later Find the quotient that best describes the rate of change in the whales depth
To find the rate of change in the whale's depth, we need to divide the change in depth by the time it takes for that change to occur.
The change in depth is the initial depth minus the final depth, which in this case is 15 meters below the surface.
The time it takes for the change to occur is given as 9.5 seconds.
Therefore, the rate of change in the whale's depth is:
15 meters / 9.5 seconds.
To find the rate of change in the whale's depth, we need to find the quotient of the change in depth divided by the time taken.
Given that the whale starts at a depth of 15 meters and swims up to the surface, we can calculate the change in depth. The change in depth is the final depth minus the initial depth.
Final depth = 0 meters (surface)
Initial depth = 15 meters
Change in depth = Final depth - Initial depth
Change in depth = 0 meters - 15 meters
Change in depth = -15 meters
The time taken for the whale to swim to the surface is given as 9.5 seconds.
Now we can calculate the rate of change in the whale's depth:
Rate of change = Change in depth / Time taken
Rate of change = (-15 meters) / (9.5 seconds)
Simplifying this expression:
Rate of change ≈ -1.579 meters per second
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately -1.579 meters per second.