The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in feet above sea level) is approximately linear. [Hint: Use y=mx+b). When the temperature at sea level is 70 degrees, an increase of 5,200 feet in altitude lowers the air temperature about 20 degrees. a. Express T in terms of h. b. Approximate the air temperature at an altitude of 14,000 feet.

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The relationship between the air temperature T (in degrees Fahrenheit) and the altitude h (in feet above sea level) is approximately linear. [Hint: Use y=mx+b). When the temperature at sea level is 70 degrees, an increase of 5,200 feet in altitude lowers the air temperature about 20 degrees.

a. Express T in terms of h.
b. Approximate the air temperature at an altitude of 14,000 feet. 

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