Question

The whale is swimming at the current depth of 15 meters below the surface, it swims up towards the surface and arrives there 9.5 seconds later. Find the quotient that best describes the rate of change in the whales depth. Give your answer to the nearest hundredth.
The quotient that best represents the rate of change in the whales depth is meters/seconds

Answer 1

The rate of change in the whale's depth can be found by dividing the change in depth by the time it takes for that change to occur. Let's consider the change in depth first:

Change in depth = 0 meters (surface) - (-15 meters) = 0 - (-15) = 15 meters

The time it takes for this change to occur is given as 9.5 seconds.

Rate of change in depth = Change in depth / Time = 15 meters / 9.5 seconds

To find the quotient to the nearest hundredth, we can divide 15 by 9.5:

Rate of change in depth ≈ 15 / 9.5 ≈ 1.58 meters/second

Therefore, the quotient that best represents the rate of change in the whale's depth is 1.58 meters/second.