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The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:

y = -578x + 18,995

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).

Answer :

cryssatemp

Answer:

(5,16106)

(30,1655)

Step-by-step explanation:

We have the following equation that models the landing of the airplane:

[tex]y=-578x+18995[/tex]

Where [tex]y[/tex] represents the altitude of the plane in feet ([tex]ft[/tex]) and [tex]x[/tex] represents the time in minutes ([tex]min[/tex]).

With this information in mind we have to calculate the altitude of the airplane in two situations:

When [tex]x=5 min[/tex]:

[tex]y=-578(5)+18995[/tex]

[tex]y=-2890+18995[/tex]

[tex]y=16105 ft[/tex]

Then, the result in ordered pair form is:

(5, 16105)

When [tex]x=30 min[/tex]:

[tex]y=-578(30)+18995[/tex]

[tex]y=-17340+18995[/tex]

[tex]y=1655 ft[/tex]

Then, the result in ordered pair form is:

(30, 1655)

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