A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin's position. Give your answer to the nearest hundredth
The average rate of change in the dolphin's position can be represented by the quotient of the change in position over the change in time.
The change in position is the difference between the highest point and the lowest point, which is 3.5 meters above the surface and 10 meters below the surface, respectively. This gives us a change in position of 3.5 + 10 = 13.5 meters.
The change in time is given as 12.5 seconds.
The quotient of the change in position over the change in time is then 13.5 meters / 12.5 seconds = 1.08 meters/second.
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters/second.
To find the average rate of change in the dolphin's position, we need to calculate the change in position divided by the change in time.
The change in position is the difference between the altitude above the surface and the depth below the surface. In this case, it is 3.5 meters (altitude) - (-10 meters) (depth) = 13.5 meters.
The change in time is given as 12.5 seconds.
Now we can calculate the average rate of change:
Average rate of change = change in position / change in time
= 13.5 meters / 12.5 seconds
≈ 1.08 meters/second
So, the average rate of change in the dolphin's position is approximately 1.08 meters/second.
To find the average rate of change in the dolphin's position, we need to divide the change in position by the change in time. Let's calculate it step by step:
1. First, let's determine the total change in the dolphin's position. It started at a height of 3.5 meters above the water's surface and then dove 10 meters below the surface. So, the total change in position is the sum of these two values: 3.5 meters + 10 meters = 13.5 meters.
2. Next, we need to calculate the change in time. Given that it took 12.5 seconds for the dolphin to go from its highest point above the water to its lowest depth, the change in time is 12.5 seconds.
3. Now, we can find the average rate of change in the dolphin's position by dividing the change in position by the change in time: 13.5 meters / 12.5 seconds = 1.08 meters per second.
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters per second.