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 bird descends from an altitude of 10 meters to an altitude of 3 meters in a time interval of 3 seconds. To find the rate of change of the bird's altitude, we divide the change in altitude by the change in time.
Change in altitude = 10 meters - 3 meters = 7 meters
Change in time = 3 seconds
Rate of change of the bird's altitude = Change in altitude / Change in time
= 7 meters / 3 seconds
= 2.333 meters per second (rounded to the nearest hundredth)
The quotient 2.333 can be interpreted as the bird descending at a rate of 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 over the change in time.
The change in altitude is the difference between the initial altitude (10 meters) and the final altitude (3 meters). Therefore, the change in altitude is 10 - 3 = 7 meters.
The change in time is given as 3 seconds.
To calculate the rate of change in altitude, we divide 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 give the answer to the nearest hundredth, we divide 7 by 3, which is approximately 2.33.
Therefore, the rate of change in the bird's altitude is approximately 2.33 meters per second.
To interpret the quotient that describes the rate of change in the bird's altitude, we need to determine the change in altitude and the time it took for that change to occur.
The bird is initially flying at an altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground.
The change in altitude is the difference between the initial altitude and the final altitude:
Change in altitude = Initial altitude - Final altitude = 10 meters - 3 meters = 7 meters.
The time it took for this change to occur is 3 seconds.
To find the rate of change (commonly referred to as the average velocity), we divide the change in altitude by the time it took:
Rate of change = Change in altitude / Time = 7 meters / 3 seconds.
Calculating this rate of change, we get 2.33 meters/second (rounded to the nearest hundredth).
Interpreting this quotient means that the bird's altitude is decreasing at an average rate of 2.33 meters per second.