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On a particular day, the linear function defined by
approximates the temperature in degrees Fahrenheit above the surface of Earth, where x is in thousands of feet and y is the temperature. (Source: Schwartz, Richard H., Mathematics and Global Survival, Ginn Press.)
(a) When the height is 5000 feet, what is the temperature? Solve analytically.
(b) When the temperature is , what is the height? Solve analytically.
(c) Explain how the answers in parts (a) and (b) can be supported graphically.
The goal of this task is to provide the set-builder notation of the given interval.
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