A pilot is flying an airplane due to strong winds. The pilot decides to fly 4000 feet lower to avoid excessive turbulence. It takes the pilot 3 1/2 minutes tonight. The suggestion that interpret the "net to describe the rate of change in the planes altitude, give your answer to the nearest hundredth and remember the plane is descending.

To calculate the rate of change in the plane's altitude (net), we need to divide the change in altitude (4000 feet) by the time it took (3 1/2 minutes).

First, let's convert 3 1/2 minutes to 3.5 minutes:

3.5 minutes = 3 + 1/2 = 3.5 minutes

Now, to find the rate of change in altitude (net), we divide the change in altitude (4000 feet) by the time (3.5 minutes):

Rate of change in altitude (net) = 4000 feet / 3.5 minutes

Dividing these two values gives us the rate of change in altitude:

Rate of change in altitude (net) = 1142.86 feet per minute

Rounded to the nearest hundredth, the rate of change in altitude (net) is approximately 1142.86 feet per minute.

To find the rate of change in the plane's altitude, we need to determine how many feet the plane descends per minute.

Given that the pilot descends 4000 feet in 3 1/2 minutes, we can convert this time to minutes by adding the fraction to the whole number. Thus, 3 1/2 minutes becomes 3 + 1/2 = 3.5 minutes.

Next, we divide the descent in feet by the time in minutes:
4000 feet / 3.5 minutes = 1142.86 feet per minute

Since the plane is descending, the rate of change in altitude would be a negative value. Therefore, the net rate of change in the plane's altitude is approximately -1142.86 feet per minute (rounded to the nearest hundredth).

To determine the rate of change in the plane's altitude, we need to find how many feet the plane descends per minute.

Given that the pilot flew 4000 feet lower in 3 1/2 minutes, we can calculate the rate of change by dividing the change in altitude (4000 feet) by the time taken (3 1/2 minutes).

Let's convert 3 1/2 minutes to a decimal. 1/2 in decimal is equal to 0.5, so we have 3 + 0.5 = 3.5 minutes.

Now, we can calculate the rate of change in altitude:
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes

Calculating this, we get:
Rate of change ≈ 1142.86 feet per minute

Therefore, the net rate of change in the plane's altitude, while descending, is approximately 1142.86 feet per minute.