SOLUTION: The boiling point of water can be modeled as a linear function of altitude. The boiling point of water at sea level is 212°F, and the boiling point of water at 1100 ft above sea le

Algebra ->  Linear-equations -> SOLUTION: The boiling point of water can be modeled as a linear function of altitude. The boiling point of water at sea level is 212°F, and the boiling point of water at 1100 ft above sea le      Log On


   

Question 902081: The boiling point of water can be modeled as a linear function of altitude. The boiling point of water at sea level is 212°F, and the boiling point of water at 1100 ft above sea level is 210°F.
a. Express the boiling point as a function of altitude.
b. Graph the relationship between boiling point and altitude.
c. Find the boiling point of water at an altitude of 11,000 ft.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Identify two points.
(0,212) and (1100,210).

Slope, m=%28210-212%29%2F%281100-0%29=-2%2F1100=highlight_green%28-%281%2F550%29%29
y=mx%2Bb
b=y-mx
b=.... the y intercept is already found as given.

highlight%28y=-%281%2F550%29x%2B212%29

graph%28400%2C400%2C-10%2C1500%2C200%2C220%2C-x%2F550%2B212%29

A view from farther away,
graph%28400%2C400%2C-10%2C1500%2C-10%2C220%2C-x%2F550%2B212%29

For boiling point at 11000 feet, just set x=11000 and evaluate y.