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 change in time.
The whale starts at a depth of 15 meters below the surface and then swims up to the surface, so the change in depth is 15 meters.
The whale takes 9.5 seconds to reach the surface, so the change in time is 9.5 seconds.
To find the rate of change, 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
Calculating this, we get:
Rate of change = 1.57894736842 meters/second
To the nearest hundredth, the quotient that best describes the rate of change in the whale's depth is approximately 1.58 meters/second.
To find the quotient that represents the rate of change in the whale’s depth, we need to divide the change in depth by the time it took.
The whale is swimming from a depth of 15 meters below the surface to the surface, which is a total change in depth of 15 meters. It took the whale 9.5 seconds to reach the surface.
So, rate of change in the whale’s depth = change in depth / time = 15 meters / 9.5 seconds.
Using a calculator, we can evaluate this quotient to get the answer to the nearest hundredth.
Rate of change in the whale’s depth = 15 / 9.5 ≈ 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.