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.
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 the adjustment. The change in altitude is 4,000 feet, and the time taken is 3.5 minutes.
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes = 1142.86 feet/minute
Therefore, the rate of change in the plane's altitude is approximately 1142.86 feet/minute when descending.
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.
To interpret the quotient and describe the rate of change in the plane's altitude, we need to calculate the rate of change per minute.
The plane descends 4,000 feet in 3.5 minutes.
To find the rate of change per minute, we divide the change in altitude by the change in time:
Rate of change per minute = change in altitude / change in time
Rate of change per minute = 4000 feet / 3.5 minutes
Calculating this quotient:
Rate of change per minute ≈ 1142.86 feet/minute
Therefore, the rate of change of the plane's altitude, while descending to avoid excessive turbulence, is approximately 1142.86 feet per minute.
To find the rate of change in the plane's altitude, we need to divide the change in altitude (which is 4,000 feet) by the time it takes for the adjustment to be made (which is 3.5 minutes).
The equation for rate of change is:
Rate of change = Change in value / Time
In this case, the change in value is the change in altitude, which is 4,000 feet, and the time is 3.5 minutes.
Rate of change = 4,000 feet / 3.5 minutes
To calculate this value, we can perform the division:
Rate of change ≈ 1142.86 feet per minute
Therefore, the rate of change in the plane's altitude, when descending to avoid turbulence, is approximately 1142.86 feet per minute.