SOLUTION: At sea level, water boils at 212 degrees F. At the height of 1100 feet, water boils at 210 degrees F. The relationship between boiling point and height above the sea level is linea

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At sea level, water boils at 212 degrees F. At the height of 1100 feet, water boils at 210 degrees F. The relationship between boiling point and height above the sea level is linea      Log On


   

Question 882797: At sea level, water boils at 212 degrees F. At the height of 1100 feet, water boils at 210 degrees F. The relationship between boiling point and height above the sea level is linear. Find an equation that relates these quantities. Then, find the boiling temperature of water in Flagstaff, AZ located 6900 feet above the sea level.
Write the equation in slope intercept form.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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At sea level, water boils at 212 degrees F.
At the height of 1100 feet, water boils at 210 degrees F.
The relationship between boiling point and height above the sea level is linear.
Find an equation that relates these quantities.
Then, find the boiling temperature of water in Flagstaff, AZ located 6900 feet above the sea level.
Write the equation in slope intercept form.
:
Using the form y = mx+b; find the slope (m): %28y2-y1%29%2F%28x2-x1%29 = m
Assign the given values as follows:
x1 = 0; y1 = 212
x2 = 1100; y2 = 210
:
m = %28210-212%29%2F%281100-0%29%29
m = -2%2F1100 = -1%2F550
:
Find b using x=0; y=211
-1%2F550(0) + b = 212
b = 212
:
y = -1%2F550x + 212, is the equation
"
find the boiling temperature of water in Flagstaff, AZ located 6900 feet above the sea level.
x = 6900
y = -1%2F550(6900) + 212
y = -12.54 + 212
y = 199.45 degrees in Flagstaff