Question

AVIATION An air traffic controller manages the flow of aircraft in and out of airport airspace by guiding pilots during

Answer 1

Using linear functions, it is found that the two planes will be at the same altitude in 7 minutes.

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

For the first plane:

• Initial altitude of 1000 meters, hence $b = 1000$.

• Ascending t a rate of 400 meters per minute, hence $m = 400$.

Hence, the equation is:

$y_1(x) = 400x + 1000$

For the second plane:

• Initial altitude of 5900 meters, hence $b = 5900$.

• Descending t a rate of 300 meters per minute, hence $m = -300$.

Hence, the equation is:

$y_2(x) = -300x + 5900$

They will be at the same altitude at the value of x for which:

$y_1(x) = y_2(x)$

Hence:

$400x + 1000 = -300x + 5900$

$700x = 4900$

$x = \frac{4900}{700}$

$x = 7$

The two planes will be at the same altitude in 7 minutes.

To learn more about linear functions, you can take a look at brainly.com/question/25823744