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: (1 point)
The quotient that describes the rate of change in the dolphin's position is-1.08 meters/second
The quotient that describes the rate of change in the dolphin's position is 1.06 meters/second The quotient that describes the rate of change in the dolphin's position is 0.52 meters/second
The quotient that describes the rate of charge in the dolphin's position is-0.52 meters/second
The correct answer is: The quotient that describes the rate of change in the dolphin's position is 0.52 meters/second.
Why
To find the average rate of change in the dolphin's position, we need to divide the change in position by the time it took.
The change in position is the difference between its highest point above the water (3.5 meters) and its lowest depth below the water (-10 meters), which is 3.5 - (-10) = 13.5 meters.
The time it took for this change to occur is given as 12.5 seconds.
So the average rate of change in the dolphin's position is 13.5 meters / 12.5 seconds = 1.08 meters/second.
But to answer the question to the nearest hundredth, we round this value to 1.08 meters/second.
Negative or positive
Apologies for the confusion in my previous response. The correct answer is:
The quotient that describes the rate of change in the dolphin's position is -1.08 meters/second.
How
To determine if the rate of change is negative or positive, we need to consider the context of the problem.
In this case, the dolphin starts at a height of 3.5 meters above the water and then dives to a depth of 10 meters below the surface of the water.
When the dolphin jumps above the water, its position is increasing, which implies a positive direction. However, when the dolphin dives below the water, its position is decreasing, indicating a negative direction.
Therefore, the rate of change in the dolphin's position is negative because it is moving downwards, from a positive altitude to a negative depth. Thus, the correct answer is:
The quotient that describes the rate of change in the dolphin's position is -1.08 meters/second.