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.(1 point)
The quotient that best represents the rate of change in the whale’s depth is meters/second.
To find the rate of change in the whale's depth, we need to calculate the change in depth divided by the time it took for the change to occur.
The initial depth of the whale is 15 meters below the surface.
After swimming up, the whale reaches the surface, so the change in depth is 15 meters.
The time it took for the change to occur is 9.5 seconds.
So the rate of change in the whale's depth is 15 meters / 9.5 seconds.
Dividing 15 by 9.5 gives us approximately 1.58.
Therefore, the quotient that best represents the rate of change in the whale’s depth is 1.58 meters/second.
To find the rate of change in the whale's depth, we need to determine how many meters the whale swims in 9.5 seconds.
The initial depth of the whale is 15 meters below the surface, and it swims up towards the surface. So, the change in depth is 15 meters.
Dividing the change in depth by the time taken gives us the rate of change:
Rate of change = Change in depth / Time taken
Rate of change = 15 meters / 9.5 seconds
Using a calculator, we can find the quotient to the nearest hundredth:
Rate of change ≈ 1.58 meters/second
Therefore, the quotient that best describes the rate of change in the whale's depth is 1.58 meters/second.
To find the rate of change in the whale's depth, we need to divide the change in depth by the time taken.
The starting depth of the whale is 15 meters below the surface, and it swims up to the surface. So the change in depth is from -15 meters to 0 meters (since the surface is at 0 meters).
The time taken for the whale to reach the surface is given as 9.5 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 = (0 meters - (-15 meters)) / 9.5 seconds
Simplifying, we get:
Rate of change = 15 meters / 9.5 seconds
Evaluating this quotient, we find:
Rate of change ≈ 1.58 meters/second
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters/second (rounded to the nearest hundredth).