Question

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

Answer 1

`T(8.85\,km) = 69.025\,^(\textdegree)C`

Explanation:

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

`T(z) = (75.5\,^(\textdegree)C-100\,^(\textdegree)C)/(7\,km-0\,km)\cdot z + 100\,^(\textdegree)C`

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

`T(8.85\,km) = 69.025\,^(\textdegree)C`