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At sea level, the boiling point of water is 100°C. At an altitude of 7 km, the boiling point of water is 75.5°C. Find a linear function for the boiling point of water in terms of the altitude above sea level. f(x) = Use your function to predict the boiling point of water on the top of Mount Everest, which is approximately 8.85 km above sea level. Round to the nearest degree. °C

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xero099

Answer:

[tex]T(8.85\,km) = 69.025\,^{\textdegree}C[/tex]

Step-by-step explanation:

Let assume that boiling point of water diminish linearly with the increase on altitude. Then, the expression needed is this first order polynomial:

[tex]T(z) = \frac{75.5\,^{\textdegree}C-100\,^{\textdegree}C}{7\,km-0\,km}\cdot z + 100\,^{\textdegree}C[/tex]

The boiling point of water at a height of 8.85 km is:

[tex]T(8.85\,km) = 69.025\,^{\textdegree}C[/tex]

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