An airplane at cruising altitude starts descending for a landing. The function f (t) = 33,600 – 1500t describes its altitude t minutes after starting its descent. What is the airplane's altitude after 10 minutes?

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ANSWER

18,600

EXPLANATION

The function that describes the altitude of the plane t minutes after starting its descent is

[tex]f(t) = 33600 - 1500t[/tex]

To find the airplane's altitude after 10 minutes, we substitute t=10 into the function.

[tex]f(10) = 33600 - 1500(10)[/tex]

[tex]f(10) = 33600 - 15000[/tex]

[tex]f(10) = 18600[/tex]

Therefore the airplane's altitude after 10 minutes is 18,600 units.

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