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. Give ur answer to the nearest hundredth
The quotient that best represents the rate of change in the whales depth is _____ meters/second
To find the rate of change in the whale's depth, we need to divide the change in depth by the change in time.
The change in depth is 15 meters since the whale is swimming up from a depth of 15 meters below the surface.
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
Rate of change ≈ 1.579 meters/second (rounded to the nearest hundredth)
To find the rate of change in the whale's depth, we need to calculate the difference in depth and divide it by the time taken.
The initial depth is 15 meters below the surface, and after 9.5 seconds, the whale reaches the surface, which means the final depth is 0 meters.
The difference in depth is 0 - (-15) = 15 meters.
The time taken is 9.5 seconds.
To find the rate of change, we divide the difference in depth by the time taken:
Rate of change = Difference in depth / Time taken = 15 meters / 9.5 seconds.
We can calculate the quotient to the hundredth place by dividing:
Rate of change = 15 / 9.5 = 1.58.
Therefore, the quotient that best describes the rate of change in the whale's depth is 1.58 meters/second.
To find the quotient that represents the rate of change in the whale's depth, we can use the formula:
Rate = Change in Depth / Time
We know the initial depth is 15 meters below the surface, and after 9.5 seconds, it arrives at the surface, which means the change in depth is 15 meters.
Therefore, the rate of change in the whale's depth is:
Rate = 15 meters / 9.5 seconds
Now, we can calculate the rate of change:
Rate ≈ 1.58 meters/second
Hence, the quotient that best represents the rate of change in the whale's depth is approximately 1.58 meters/second.