The 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 hundredth and remember the bird is descending.
The quotient that best represents the rate of change in the birds altitude is meters/seconds
The rate of change in the bird's altitude can be calculated by finding the difference in altitude divided by the difference in time.
Altitude change = 3 meters (initial altitude) - 10 meters (final altitude) = -7 meters (descending)
Time change = 3 seconds
Rate of change = Altitude change / Time change = -7 meters / 3 seconds
Therefore, the quotient that best represents the rate of change in the bird's altitude is approximately -2.33 meters/second.
To calculate the rate of change in the bird's altitude, we need to find the change in altitude divided by the change in time.
The change in altitude is the difference between its starting altitude and its final altitude: 10 meters - 3 meters = 7 meters.
The change in time is the time it took for the bird to settle on the branch: 3 seconds.
Now we can calculate the rate of change by dividing the change in altitude by the change in time:
Rate of change = Change in altitude / Change in time
Rate of change = 7 meters / 3 seconds
To the nearest hundredth, the quotient that represents the rate of change in the bird's altitude is approximately 2.33 meters/second.
To find the rate of change in the bird's altitude, we need to calculate the change in altitude (in meters) divided by the change in time (in seconds).
The initial altitude of the bird is 10 meters above the ground, and after 3 seconds, it settles on a branch that is 3 meters above the ground. The change in altitude is calculated by subtracting the final altitude from the initial altitude:
Change in altitude = 10 meters - 3 meters = 7 meters
The change in time is given as 3 seconds.
Now, to find the rate of change in the bird's altitude, we divide the change in altitude by the change in time:
Rate of change in altitude = Change in altitude / Change in time
Rate of change in altitude = 7 meters / 3 seconds
Dividing 7 meters by 3 seconds gives us:
Rate of change in altitude ≈ 2.33 meters/second (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the bird's altitude is approximately 2.33 meters/second.