Question

An airplane is flying at 32,000 feet when it starts it’s decent. It is descending at a rate of 2000 feet per minute. Let x represent the minutes

of the flights descent and y represent the plane’s altitude.
a. Write an equation in slope-intercept form for the plane’s altitude.

Answer 1

To write the equation in slope-intercept form for the plane's altitude, we use the formula y = mx + b. Given the rate of descent and initial altitude, the equation is y = -2000x + 32000.

Step-by-step explanation:

To write an equation in slope-intercept form for the plane's altitude, we can use the formula: y = mx + b, where m is the slope and b is the y-intercept. In this case, the plane's altitude is represented by y and the minutes of the flight's descent is represented by x.

Given that the plane is descending at a rate of 2000 feet per minute, this rate represents the slope (m) of the equation.

The initial altitude is 32,000 feet, so it will be the y-intercept (b). Therefore, the equation would be y = -2000x + 32000.