Chapter 1.2, Problem 71E

Boiling point. The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at $\text{212°F}$ at sea level and at $\text{193}\text{.6°F}$ 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 3,500 feet.

(C) Find the altitude if the boiling point is $\text{200°F}\text{.}$

(D) Graph $T$ and illustrate the answers to (B) and (C) on the graph.