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.(1 point)
The quotient that best represents the rate of change in the bird’s altitude is meters/second.
The quotient that best represents the rate of change in the bird's altitude is -2.33 meters/second.
A whale is swimming at a current depth of 15 meters below the surface. It swims up toward the surface and arrives there 9.5 seconds later. Find the quotient that best describes the rate of change in the whale’s depth. Give your answer to the nearest hundredth.(1 point)
The quotient that best represents the rate of change in the whale’s depth is meters/second.
The quotient that best represents the rate of change in the whale's depth is -1.58 meters/second.
To calculate the rate of change in the bird's altitude, we need to determine the change in altitude and divide it by the time taken.
The bird starts at an altitude of 10 meters and settles on a branch at an altitude of 3 meters. The change in altitude is 10 - 3 = 7 meters.
The time taken is 3 seconds.
To calculate the rate of change in the bird's altitude, we divide the change in altitude by the time taken:
Rate of change = Change in altitude / Time taken
= 7 meters / 3 seconds
Now, let's calculate the rate of change to the nearest hundredth:
Rate of change = 7 / 3 ≈ 2.33
Therefore, the quotient that best represents the rate of change in the bird's altitude is approximately 2.33 meters/second.