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 whale's depth. Give your answer to the nearest hundredth.
The whale starts at a depth of 15 meters and reaches the surface 9.5 seconds later. The change in depth is 15 meters (from 15 meters below the surface to being at the surface). The change in time is 9.5 seconds.
To find the rate of change in the whale's depth, we divide the change in depth by the change in time: rate of change = change in depth / change in time.
rate of change = 15 meters / 9.5 seconds ≈ 1.58 meters/second
Therefore, the rate of change in the whale's depth is approximately 1.58 meters/second.
To find the rate of change in the whale's depth, we need to calculate how many meters it swims per second.
From the given information, the whale swims from a depth of 15 meters to the surface in 9.5 seconds.
The change in depth is from 15 meters to 0 meters (surface). So the change in depth is 15 meters.
To find the rate of change, we divide the change in depth by the time it takes:
Rate of change = change in depth / time taken
Rate of change = 15 meters / 9.5 seconds
Calculating this, we find:
Rate of change = 1.58 meters/second
Therefore, the rate of change in the whale's depth is approximately 1.58 meters/second, rounded to the nearest hundredth.
To find the rate of change in the whale's depth, we need to divide the change in depth by the amount of time it took for the change to occur.
The whale starts swimming at a depth of 15 meters below the surface and reaches the surface 9.5 seconds later. The change in depth is from -15 meters to 0 meters (surface level).
To find the change in depth, subtract the initial depth from the final depth:
Change in depth = final depth - initial depth
Change in depth = 0 meters - (-15 meters)
Change in depth = 0 meters + 15 meters
Change in depth = 15 meters
Now, divide the change in depth by the time it took for the change to occur:
Rate of change = change in depth / time
Rate of change = 15 meters / 9.5 seconds
Calculating this division gives us:
Rate of change = 1.58 meters/second (rounded to the nearest hundredth)
Therefore, the quotient that best describes the rate of change in the whale's depth is 1.58 meters per second.