A bird is flying of an average altitude 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 bird's altitude. Give your answer to the nearest hundredth and remember the bird is descending.
The quotient to describe the rate of change in the bird's altitude can be calculated by dividing the change in altitude by the change in time.
Change in altitude = altitude at the start - altitude at the end = 0 - 3 = -3 meters (since the bird is descending)
Change in time = time at the end - time at the start = 3 - 0 = 3 seconds
So, the quotient is: -3 meters / 3 seconds = -1 meter/second
Interpreting the quotient, the bird's altitude is decreasing at a rate of 1 meter per second.
To find the rate of change in the bird's altitude, we need to divide the change in altitude by the time taken.
The change in altitude is from the average altitude to the altitude of the branch, which is 0 - 3 = -3 meters.
The time taken is 3 seconds.
Therefore, the rate of change in the bird's altitude is -3 meters / 3 seconds = -1 meter/second.
So, the bird is descending at a rate of 1 meter per second (negative because it is descending).
To interpret the quotient that describes the rate of change in the bird's altitude, we need to calculate the average rate of descent.
We know that the bird settled on a branch 3 meters above the ground after 3 seconds. This means that in 3 seconds, the bird descended a total of 3 meters.
To calculate the average rate of descent, we divide the change in altitude by the change in time. In this case, the change in altitude is -3 meters (since the bird is descending) and the change in time is 3 seconds.
So, the average rate of descent would be:
-3 meters / 3 seconds = -1 meter per second
The negative sign indicates that the bird's altitude is decreasing or descending.
Therefore, the quotient that describes the rate of change in the bird's altitude is -1 meter per second.