A bird is flying at an altitude of 10 meters above ground. After 3 seconds it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate change in the birds altitude
The quotient in this case would be the change in altitude divided by the change in time, which is (3 meters - 10 meters)/(3 seconds). This can be simplified to (-7 meters)/(3 seconds).
Interpreting this quotient, we can say that the rate of change in the bird's altitude is -7/3 meters per second. The negative sign indicates that the bird is descending (going downwards) at a rate of 7/3 meters per second.
The quotient can be interpreted as the rate of change in the bird's altitude. To find this, we can calculate the average rate of change by dividing the change in altitude by the time it took.
Change in altitude = final altitude - initial altitude
= 3 meters - 10 meters
= -7 meters
Time taken = 3 seconds
Average rate of change = change in altitude / time taken
= -7 meters / 3 seconds
= -7/3 meters per second
Interpretation: The negative quotient suggests that the bird's altitude is decreasing at a rate of 7/3 meters per second.
To interpret the quotient describing the rate change in the bird's altitude, we need to calculate the average rate of change in the bird's altitude over the given time period.
Let's first determine the initial altitude of the bird, which is 10 meters above the ground. And after 3 seconds, it settles on a branch that is 3 meters above the ground. So, the final altitude of the bird is 3 meters.
To calculate the average rate of change, we divide the change in altitude by the change in time. In this case, the change in altitude is 3 meters - 10 meters = -7 meters (since the altitude decreased), and the change in time is 3 seconds.
So, the average rate of change in the bird's altitude is:
Rate of change = Change in altitude / Change in time
= -7 meters / 3 seconds
Therefore, the quotient to describe the rate change in the bird's altitude is -7/3 meters per second.
Interpreting this quotient, it means that the bird's altitude decreases at a rate of 7/3 meters per second. We use the negative sign because the altitude is decreasing.