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Problem-Solving and Data Analysis Difficulty: Easy

An airplane descends from an altitude of $9,500$ feet to $5,000$ feet at a constant rate of $400$ feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?

Decreasing exponential

Decreasing linear

Increasing exponential

Increasing linear

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Explanation

Choice B is correct. It′s given that the airplane descends at a constant rate of $400 feet per minute$ . Since the altitude decreases by a constant amount during each fixed time period, the relationship between the airplane′s altitude and time is linear. Since the airplane descends from an altitude of $9,500 feet$ to $5,000 feet$ , the airplane′s altitude is decreasing with time. Thus, the relationship is best modeled by a decreasing linear function.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.