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 calculate the altitude change divided by the time taken.
The altitude change is the difference between the highest point above the water (3.5 meters) and the lowest depth below the surface (10 meters), which is 3.5 + 10 = 13.5 meters.
The time taken is 12.5 seconds.
So, the average rate of change can be calculated as 13.5 meters / 12.5 seconds.
Rounding to the nearest hundredth, the average rate of change is approximately 1.08 meters per second.
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
A. The quotient that describes the rate of change in the dolphins position of 0.52 meters/seconds
b.The quotients that describhe the rat of change in the dolphoins position is 1.08 meters/seconds
c. The quotient that describes the rate of change in the dolphins position of -0.52 meters/seconds
d.The quotients that describhe the rat of change in the dolphoins position is -1.08 meters/seconds
b. The quotient that describes the average rate of change in the dolphin's position is 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.
The change in position is the difference between the highest point above the water (3.5 meters) and the lowest depth below the surface of the water (-10 meters).
Change in position = 3.5 meters - (-10 meters) = 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
Dividing 13.5 meters by 12.5 seconds gives us an average rate of change of approximately 1.08 meters per second.
Therefore, the average rate of change in the dolphin's position is 1.08 meters per second (rounded to the nearest hundredth).
To interpret the quotient describing the average rate of change in the dolphin's position, we need to calculate the change in position and divide it by the time taken.
The change in position is the distance between the highest point above the water (3.5 meters) and the lowest depth below the surface (10 meters), which is a total change of 3.5 + 10 = 13.5 meters.
The time taken for this change 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:
Average rate of change = change in position / time taken
= 13.5 meters / 12.5 seconds
Dividing these numbers gives us the average rate of change:
Average rate of change ≈ 1.08 meters per second
Therefore, the interpretation of the quotient is that the dolphin's average rate of change in position is approximately 1.08 meters per second.