SOLUTION: o.k., one more for today, thank you everyone who helped me! A temperature of 41 degrees F is equivalent to 278.2 degrees K, while a temp. of 86 degrees F is equivalent to 303.2

Algebra ->  Linear-equations -> SOLUTION: o.k., one more for today, thank you everyone who helped me! A temperature of 41 degrees F is equivalent to 278.2 degrees K, while a temp. of 86 degrees F is equivalent to 303.2       Log On


   

Question 55831: o.k., one more for today, thank you everyone who helped me!
A temperature of 41 degrees F is equivalent to 278.2 degrees K, while a temp. of 86 degrees F is equivalent to 303.2 degrees K. Find the converting Kelvin temp. to Fahrenheit. What is the Fahrenheit temp. when it is 180 degrees K?
Word problems stump me....
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
o.k., one more for today, thank you everyone who helped me! 
A temperature of 41 degrees F is equivalent to 278.2 degrees K,
while a temp. of 86 degrees F is equivalent to 303.2 degrees K. 
Find the converting Kelvin temp. to Fahrenheit. What is the 
Fahrenheit temp. when it is 180 degrees K? 
Word problems stump me....

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This is the problem of finding the equation of the line that
passes through two points.

Let x = Kelvin temperature
Let y = Fahrenheit temperature

>>...41 degrees F is equivalent to 278.2 degrees K...<<

Translation: when x = 278.2, y = 41 OR

The line passes through the point (278.2, 41)

>>...56 degrees F is equivalent to 303.2 degrees K...<<

Translation: when x = 303.2, y = 86 OR

The line passes through the point (303.2, 86)

Use the slope formula

     y2 - y1        86 - 41       9   
m = --------- = --------------- = -- = 1.8
     x2 - x1     303.2 - 278.2    5     

Use the point-slope formula

y - y1 = m(x - x1)

y - 41 = 1.8(x - 278.2)

y - 41 = 1.8x - 500.76

     y = 1.8x - 459.76

We can change the x to K and the y to F:

     F = 1.5K - 459.76

>>...What is the Fahrenheit temp. when it is 180 degrees K?...<<

     F = 1.5(180) - 459.76

     F = -135.76°

Edwin