Concept explainers
A plane was flying at an altitude of 30,000 feet when it began the descent toward the airport. The airplane descends at a rate of 850 feet per minute.
a. What is the function rule that describes this situation?
b. What is the altitude of the plane after it has descended for 8 minutes? Show your work.
c. Use the function in part a to determine how long it takes for the plane to land if it descends at a continuous rate.
(a)
The function rule that describe the given situation.
Answer to Problem 6STP
Function rule is given below;
Explanation of Solution
Given:
Plane was flying at an altitude of
The airplane descends at a rate of
Let
So, define the function according to the situation.
Where,
t: time in minute.
(b)
The altitude of the plane after it has descended for
Answer to Problem 6STP
The altitude of the plane after it has descended for
Explanation of Solution
Given:
Plane was flying at an altitude of
The airplane descends at a rate of
After 8 minutes plane`s altitude:
(c)
Time taken for the plane to land if it descends at a continuous rate.
Answer to Problem 6STP
It takes
Explanation of Solution
Given:
Plane was flying at an altitude of
The airplane descends at a rate of
For plane to land, altitude
That is:
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