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) Is it -?
To interpret the quotient describing the rate of change in the plane's altitude, we need to calculate the change in altitude per unit of time. In this case, we are given that the plane descends 4,000 feet and it takes 3.5 minutes to make this adjustment.
To calculate the rate of change, we divide the change in altitude by the amount of time it takes:
Rate of change = change in altitude / time taken
In this case, the change in altitude is -4,000 feet (negative because the plane is descending) and the time taken is 3.5 minutes. Plugging these values into the formula, we get:
Rate of change = -4,000 feet / 3.5 minutes
Calculating this, we find:
Rate of change ≈ -1,142.86 feet/minute
So, the rate of change in the plane's altitude, to the nearest hundredth, is approximately -1,142.86 feet per minute. The negative sign indicates that the plane is descending.
To interpret the quotient describing the rate of change in the plane's altitude, we can divide the change in altitude (4,000 feet) by the time it took (3.5 minutes).
Rate of change = Change in altitude / Time taken
Rate of change = 4,000 feet / 3.5 minutes
Evaluating this expression gives us 1,142.86 (rounded to the nearest hundredth).
However, since the plane is descending and we are looking for a negative rate of change, the answer should be -1,142.86 (rounded to the nearest hundredth). The negative sign indicates that the altitude is decreasing.
The quotient in this scenario is the rate of change in the plane's altitude, which is the change in altitude divided by the time taken. Since the pilot is descending, the change in altitude is negative and the time taken is positive.
Given that the plane descends 4,000 feet and it takes 3.5 minutes to make this adjustment, the rate of change in altitude can be calculated by -4000 feet/3.5 minutes ≈ -1142.86 feet/minute.
Therefore, the interpretation of the quotient is that the plane is descending at a rate of approximately 1142.86 feet per minute.