40 points

problem:

the altitude of an airplane descending to the airport is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x, represents the number of minutes after descending.

y = -500x + 28,000

part a:

what is the altitude of the airplane after 5 minutes? after 30 minutes? show your work then write your answers as ordered pairs (x, y).

part b:

create a table for the values when x = 0, 5, 8, 10, 30.

part c:

which ordered pair (from the table in part b) represents the initial value? what does the initial value represent in this problem? (1-2 sentences)

part d:

what is the rate of change in this equation? what does the rate of change represent in this problem? (1-2 sentences)