Help!!!!!!!!!!
. 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)
Responses
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 0.52 meters/second.
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 -0.52 meters/second.
To determine the average rate of change in the dolphin's position, we need to calculate the change in position (how far it traveled) divided by the time it took.
The change in position is the sum of the highest point (3.5 meters) and the lowest depth (-10 meters), which is -6.5 meters.
The time it took for this change in position is 12.5 seconds.
To calculate the average rate of change, we divide the change in position (-6.5 meters) by the time (12.5 seconds):
Average rate of change = -6.5 meters / 12.5 seconds
≈ -0.52 meters/second
Therefore, the correct answer is:
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
r u sure
I apologize for any confusion. Let's double-check the calculation:
The change in position is the sum of the highest point (3.5 meters) and the lowest depth (-10 meters), which is -6.5 meters.
The time it took for this change in position is 12.5 seconds.
To calculate the average rate of change, we divide the change in position (-6.5 meters) by the time (12.5 seconds):
Average rate of change = -6.5 meters / 12.5 seconds
≈ -0.52 meters/second
Based on this calculation, the average rate of change in the dolphin's position is indeed approximately -0.52 meters/second.
bot?
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 distance 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 it took for this change to occur is 12.5 seconds.
Now, let's calculate the average rate of change:
Average rate of change = Change in position / Time taken
= 13.5 meters / 12.5 seconds
= 1.08 meters/second (rounded to the nearest hundredth)
Therefore, the correct answer is:
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
To calculate the average rate of change in the dolphin's position, we need to find the change in position (altitude) divided by the change in time.
First, let's find the change in position. The dolphin went from an altitude of 3.5 meters above the surface to a depth of 10 meters below the surface. Therefore, the change in position is 3.5 meters + 10 meters = 13.5 meters.
Next, let's find the change in time. The dolphin went from its highest point to its lowest depth in 12.5 seconds.
Now, we can calculate the average rate of change by dividing the change in position by the change in time:
Average rate of change = (change in position) / (change in time)
= 13.5 meters / 12.5 seconds
Calculating this quotient, we get 1.08 meters/second (rounded to the nearest hundredth).
So, the correct answer is: The quotient that describes the rate of change in the dolphin's position is 1.08 meters/second.