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.
To interpret the quotient, we need to calculate the rate of change in the bird's altitude. The bird goes from an altitude of 10 meters to an altitude of 3 meters in 3 seconds.
The rate of change in altitude is calculated by dividing the change in altitude by the change in time.
Change in altitude = Final altitude - Initial altitude = 3 meters - 10 meters = -7 meters (negative because the altitude decreases)
Change in time = 3 seconds
Rate of change in altitude = Change in altitude / Change in time = -7 meters / 3 seconds ≈ -2.33 meters/second
The quotient -2.33 can be interpreted as the bird's altitude decreasing by an average rate of 2.33 meters per second.
A whale is swimming at a current depth of 15 meters below the surface. It swims up toward the surface
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.
The change in altitude is 10 meters (initial altitude) - 3 meters (final altitude) = 7 meters.
The change in time is 3 seconds.
Therefore, the rate of change in the bird's altitude is 7 meters / 3 seconds.
Dividing 7 meters by 3 seconds gives us approximately 2.3333.
Rounding this to the nearest hundredth, the rate of change in the bird's altitude is 2.33 meters per second.
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.
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. Therefore, the change in altitude is 10 meters - 3 meters, which equals 7 meters. The change in time is 3 seconds.
To calculate the rate of change, 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
Calculating this division gives us a quotient of approximately 2.33.
Therefore, the quotient of 2.33 represents the rate of change in the bird's altitude, indicating that the bird is descending at a rate of 2.33 meters per second.