The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet. (a) Find a relationship of the form T=mx+b where T is degrees Fahrenheit and x is altitude in thousands of feet. (b) Find the boiling point at an altitude of 3,100 feet. (c) Find the altitude if the boiling point is 201.5°F.
The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea level and at 193.6°F at an altitude of 10,000 feet. (a) Find a relationship of the form T=mx+b where T is degrees Fahrenheit and x is altitude in thousands of feet. (b) Find the boiling point at an altitude of 3,100 feet. (c) Find the altitude if the boiling point is 201.5°F.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 25RE
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The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at
212°F at sea level and at 193.6°F at an altitude of 10,000
feet.(a)
Find a relationship of the form
T=mx+b
where T is degrees Fahrenheit and x is altitude in thousands of feet.(b)
Find the boiling point at an altitude of
3,100
feet.(c)
Find the altitude if the boiling point is
201.5°F.
(d) Graph T and illustrate the answers to (b) and (c)on the graph.
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