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 bird’s altitude. Give your answer to the nearest hundredth and remember that the bird is descending.
2.33 is wrong..
To find the rate of change in the bird's altitude, we need to calculate the change in altitude and divide it by the change in time.
The change in altitude is the difference between the initial altitude (10 meters) and the final altitude (3 meters). This is 10 meters - 3 meters = 7 meters.
The change in time is 3 seconds.
Therefore, the rate of change in the bird's altitude is 7 meters / 3 seconds = 2.33 meters/second.
Interpreting this quotient, we can say that the bird is descending at a rate of approximately 2.33 meters per second.
wrong try again
what is it
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.
First, let's find the change in altitude:
Altitude at the start = 10 meters
Altitude after 3 seconds = 3 meters
Change in altitude = Altitude after 3 seconds - Altitude at the start
Change in altitude = 3 meters - 10 meters
Change in altitude = -7 meters (negative because the bird is descending)
Next, let's find the change in time:
Time at the start = 0 seconds
Time after 3 seconds = 3 seconds
Change in time = Time after 3 seconds - Time at the start
Change in time = 3 seconds - 0 seconds
Change in time = 3 seconds
Now, we can calculate the rate of change in the bird's altitude 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
Rate of change ≈ -2.33 meters/second
Interpreting the quotient, the rate of change in the bird's altitude is approximately -2.33 meters per second. This means that the bird is descending at a speed of 2.33 meters per second.
Apologies for the incorrect response. Let's try again.
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 10 meters - 3 meters = 7 meters.
Since the bird is descending, the change in altitude is negative. So, the change in altitude is -7 meters.
Now, we need to find the rate of change in the bird's altitude. We can do this by dividing the change in altitude by the change in time.
The change in time is 3 seconds.
Therefore, the rate of change in the bird's altitude is -7 meters / 3 seconds = -2.33 meters/second.
Interpreting this quotient, we can say that the bird is descending at a rate of approximately 2.33 meters per second. The negative sign indicates that it is descending downwards.