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 dolphins position. Give your answer to the nearest hundredth
To find the average rate of change in the dolphin's position, we need to divide the change in position (from highest point to lowest depth) by the change in time.
The change in position is the difference between the altitude reached above the surface and the depth dove below the surface, which is 3.5 meters - (-10 meters) = 13.5 meters.
The change in time is given as 12.5 seconds.
Therefore, the average rate of change in the dolphin's position is 13.5 meters / 12.5 seconds = 1.08 meters/second (rounded to the nearest hundredth).
Positive or negative.
The average rate of change in the dolphin's position is positive, because the dolphin went from a lower position (below the surface) to a higher position (above the surface).
So is that 1.08 meters/seconds or -1.08 meters/second
Apologies for the confusion. The correct interpretation is that the average rate of change in the dolphin's position is -1.08 meters/second. This is because the dolphin went from a higher position (above the surface) to a lower position (below the surface), indicating a decrease in elevation.
To interpret the quotient to describe the average rate of change in the dolphin's position, we need to calculate the average rate of change by dividing the change in position by the time taken.
The change in position is calculated by subtracting the initial depth from the final depth. In this case, the initial depth is 3.5 meters above the surface, and the final depth is 10 meters below the surface. So the change in position is 3.5 + 10 = 13.5 meters.
The time taken is given as 12.5 seconds.
Now we can calculate the average rate of change by dividing the change in position by the time taken: 13.5 meters / 12.5 seconds = 1.08 meters per second.
Therefore, the average rate of change in the dolphin's position is 1.08 meters per second.
To find the average rate of change in the dolphin's position, we need to calculate the displacement and divide it by the time taken.
First, let's find the total displacement of the dolphin. The dolphin jumped 3.5 meters above the surface and then dove 10 meters below the surface. The total displacement can be calculated by adding these two values: 3.5 + (-10) = -6.5 meters.
Next, we divide the displacement by the time taken to find the average rate of change. In this case, the time taken is 12.5 seconds.
Average rate of change = displacement / time taken
Average rate of change = -6.5 meters / 12.5 seconds
To find the answer to the nearest hundredth, we can use a calculator or divide -6.5 by 12.5.
Average rate of change ≈ -0.52 meters/second
Therefore, the average rate of change in the dolphin's position is approximately -0.52 meters/second. This means that the dolphin's position, on average, changed by -0.52 meters every second during the given time interval.