A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the birds altitude. Give your answer to the nearest hundredths and remember that the bird is descending.
The rate of change in the bird's altitude can be determined by finding the difference in altitude, divided by the time taken. In this case, the bird is descending from an altitude of 10 meters to an altitude of 3 meters, which is a difference of 10 - 3 = 7 meters. The time taken is 3 seconds.
So the quotient to describe the rate of change in the bird's altitude is 7 meters / 3 seconds ≈ 2.33 meters/second.
Therefore, the rate of change in the bird's altitude is approximately 2.33 meters per second.
To find the rate of change in the bird's altitude, we need to calculate the change in altitude divided by the change in time.
The initial altitude is 10 meters above the ground, and after 3 seconds, it settles on the branch that is 3 meters above the ground.
Change in altitude = Initial altitude - Final altitude
Change in altitude = 10 meters - 3 meters = 7 meters
Change in time = 3 seconds
Rate of change in altitude = Change in altitude / Change in time
Rate of change in altitude = 7 meters / 3 seconds ≈ 2.33 meters per second.
So, to describe the rate of change in the bird's altitude, the quotient is approximately 2.33 meters per second.
To determine the rate of change in the bird's altitude, we need to calculate the average rate of change over the given time period.
We know that the bird starts flying at an altitude of 10 meters above the ground and ends up settling on a branch that is 3 meters above the ground after 3 seconds. The vertical change in altitude is therefore 10 meters - 3 meters = 7 meters.
To calculate the average rate of change, we divide the vertical change by the time elapsed. In this case, the time elapsed is 3 seconds.
Average Rate of Change = Vertical Change / Time Elapsed
Average Rate of Change = 7 meters / 3 seconds
To express the answer to the nearest hundredths, we can use a calculator or perform the division:
Average Rate of Change ≈ 2.33 meters/second
Therefore, the average rate of change in the bird's altitude is approximately 2.33 meters/second.