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.
To find the rate of change in the bird's altitude, we need to calculate the difference in altitude divided by the difference in time.
The difference in altitude is 10 meters (starting altitude) - 3 meters (final altitude) = 7 meters.
The difference in time is 3 seconds.
Now we divide the difference in altitude by the difference in time: 7 meters / 3 seconds = 2.33 meters/second.
Therefore, the quotient that represents the rate of change in the bird's altitude is approximately 2.33 meters/second.
wrong
Apologies for the mistake. Since the bird is descending, the rate of change in altitude would be negative.
The difference in altitude is 3 meters (starting altitude) - 10 meters (final altitude) = -7 meters.
The difference in time is 3 seconds.
Now we divide the difference in altitude by the difference in time: -7 meters / 3 seconds = -2.33 meters/second.
Therefore, the quotient that represents the rate of change in the bird's altitude is approximately -2.33 meters/second.
2.33 second is wrong
I apologize for the error. Let's correct the calculation.
The difference in altitude is 3 meters (starting altitude) - 10 meters (final altitude) = -7 meters.
The difference in time is 3 seconds.
Now we divide the difference in altitude by the difference in time: -7 meters / 3 seconds = -2.33 meters/second.
Therefore, the quotient that represents the rate of change in the bird's altitude is approximately -2.33 meters/second.
you shouldve told me about the minus sign
Apologies for the oversight.
The quotient that 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.
To find the rate of change in the whale's depth, we need to calculate the difference in depth divided by the difference in time.
The difference in depth is 15 meters (starting depth) - 0 meters (final depth) = 15 meters.
The difference in time is 9.5 seconds.
Now we divide the difference in depth by the difference in time: 15 meters / 9.5 seconds = 1.58 meters/second.
Therefore, the quotient that represents the rate of change in the whale's depth is approximately 1.58 meters/second.