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Q: water boiling at different heights ( Answered 4 out of 5 stars,   0 Comments )
Question  
Subject: water boiling at different heights
Category: Miscellaneous
Asked by: fredewq-ga
List Price: $5.00
Posted: 02 Nov 2002 16:27 PST
Expires: 02 Dec 2002 16:27 PST
Question ID: 96855
Water boils at 212 degrees Farenheit at sea level. At a height of 1100
feet, water boils at 210 degrees Farenheit. The relationship between
the boiling point and height is linear.
a) Find the equation for the boiling point B(x) of water in terms of
the height, x, in feet.
b) Find the boiling point of water (elevation 42 feet)
I need to show work. Thanks
Answer  
Subject: Re: water boiling at different heights
Answered By: haversian-ga on 02 Nov 2002 16:32 PST
Rated:4 out of 5 stars
 
Equation for a line: F(x)=ax+b where a is the slope and b is the y-intercept.

Solve for slope: dy/dx = (210-212)/(1100-0) = -0.001818181818...

Y-intercept of course is at 212.

So, we have F(x) = -0.001818181818x + 212

F(42) = 211.923636363636... degrees Farenheit
fredewq-ga rated this answer:4 out of 5 stars

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