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 planes altitude give ur answer to the nearest hundredth, and remember the plan descending

the quotient that best represents the rate of change in the

planes altitude is _ feet/minute

1 answer

To calculate the rate of change in the plane's altitude, you can use the formula:

\[ \text{Rate of change} = \frac{\text{Change in altitude}}{\text{Time taken}} \]

In this case, the change in altitude is 4,000 feet, and the time taken is 3.5 minutes.

Substituting the values into the formula gives:

\[ \text{Rate of change} = \frac{4000 \text{ feet}}{3.5 \text{ minutes}} \]

Calculating this:

\[ \text{Rate of change} = \frac{4000}{3.5} \approx 1142.8571 \text{ feet/minute} \]

Rounding this to the nearest hundredth gives:

\[ \text{Rate of change} \approx 1142.86 \text{ feet/minute} \]

Since the plane is descending, you can express the rate as:

\[ \text{The quotient that best represents the rate of change in the plane's altitude is } -1142.86 \text{ feet/minute.} \]

The negative sign indicates a descent.