A bird is flying an average altitude of 10 m above the ground after three seconds it settles on a branch that is 3 m above the ground, interpret the quotient to describe the rate of change in the first altitude give your answer to the nearest hundredth and remember that the bird is dissenting

1 answer

The quotient in this scenario represents the rate of change in altitude of the bird while descending.

To calculate the rate of change, we need to find the difference in altitude and divide it by the time it takes for the bird to descend.

The initial altitude of the bird is 10 m above the ground, and after three seconds it settles on a branch that is 3 m above the ground. Therefore, the difference in altitude is 10 m - 3 m = 7 m.

The time it takes for the bird to descend is three seconds.

To calculate the rate of change, we divide the difference in altitude by the time:

Rate of change = Difference in altitude / Time
Rate of change = 7 m / 3 s
Rate of change ≈ 2.33 m/s (rounded to the nearest hundredth)

So, the quotient of 2.33 can be interpreted as the rate of change in the first altitude as the bird descends.