A pilot is flying an airplane. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane's altitude. Give your answer to the nearest hundredth, and remember the plane is descending. (1 point)
The quotient that best represents the rate of
change in the plane's altitude is
The quotient that best represents the rate of change in the plane's altitude is: -1142.86 feet per minute.
To find the rate of change in the plane's altitude, we need to divide the change in altitude by the time it took to make that change.
The change in altitude is 4,000 feet (since the pilot decided to fly 4,000 feet lower).
The time it took to make this adjustment is 3.5 minutes.
So, the rate of change in the plane's altitude is given by the quotient:
rate of change = change in altitude / time = 4000 feet / 3.5 minutes
Evaluating this quotient, we find that the rate of change in the plane's altitude is approximately 1142.86 feet per minute (rounded to the nearest hundredth).
To find the rate of change in the plane's altitude, we need to calculate the change in altitude per unit of time.
The plane descends by 4000 feet and it takes 3.5 minutes to make this adjustment.
To find the rate of change, we divide the change in altitude (4000 feet) by the time taken (3.5 minutes):
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes
To give your answer to the nearest hundredth, you can divide 4000 by 3.5 using a calculator:
Rate of change = 1142.86 feet/minute
Therefore, the rate of change in the plane's altitude, when descending 4000 feet in 3.5 minutes, is approximately 1142.86 feet per minute.