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
To find the rate of change in the whale's depth, we need to determine how many meters it moves per second.
The whale swims from a depth of 15 meters below the surface to the surface in 9.5 seconds.
The change in depth is 15 meters (from 15 meters below the surface to the surface).
To find the rate of change in depth, we divide the change in depth by the time it takes:
Rate of change = Change in depth / Time
Rate of change = 15 meters / 9.5 seconds
Rate of change = 1.58 meters/second.
So, the rate of change in the whale's depth is approximately 1.58 meters/second. Answer: 1.58
To calculate the rate of change in the whale's depth, we need to determine the difference in depth divided by the time it takes to reach the surface.
The initial depth of the whale is 15 meters below the surface.
After 9.5 seconds, the whale reaches the surface (depth of 0 meters).
The difference in depth is 15 meters (15 - 0).
To calculate 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
Dividing 15 by 9.5 gives us:
Rate of change = 1.5789
Rounding this value to the nearest hundredth, we get:
Rate of change ≈ 1.58
Therefore, the quotient that best describes the rate of change in the whale's depth is approximately 1.58.
To find the rate of change in the whale's depth, we need to determine the change in depth over the given time interval.
The initial depth of the whale is 15 meters below the surface. After 9.5 seconds, it reaches the surface (which we can take as 0 meters below the surface).
The change in depth is therefore 15 meters (initial depth) - 0 meters (final depth) = 15 meters.
To find the rate of change, we divide the change in depth by the time interval:
Rate of change = Change in depth / Time interval
Rate of change = 15 meters / 9.5 seconds
Calculating this division:
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 per second.