Posted by Vilma on Sunday, June 3, 2012 at 12:02am.
A temperature of 30 degrees F is equivalent to 271.89 degrees K, while a temperature of 94 degrees F is equivalent to 307.44 degrees K. Find the equation converting Kelvin temperature to Fahrenheit. What is the Fahrenheit temperature when it is 212 degrees K?

Algebra  MathMate, Sunday, June 3, 2012 at 8:00am
Assume a linear relationship of:
F=mK+b ....(1)
where m=slope, and b=intercept.
We have two given points, (271.89,30) and (307.44,94)
The standard formula for m (slope) is:
m=(y2y1)/(x2x1)=(9430)/(307.44271.89)=1.8
With m=1.8, substitute one of the points into equation (1) to find b:
30=1.8(271.89)+b
b=301.8(271.89)=459.4
So the conversion equation is:
F=1.8K459.4
I leave it to you to substitute K=212 in order to find the fahrenheit degrees.

Algebra  Reiny, Sunday, June 3, 2012 at 8:02am
Let F = aK + b , (treating it like the linear equation y = mx + b)
we have two points (271.89, 30) and (307.44, 94)
a = slope = (9430)/(307.44  271.89) = 64/35.55
= 1.80028
let's go with 1.8
so F = 1.8K + b
sub in (271.89,30) to find b
30 = 1.8(271.89) + b
b = 459.48
F = 1.8K  459.48
so when K = 212
F = 1.8(212)  459.48 = 77.9° Fahrenheit

To MathMate  Algebra  Reiny, Sunday, June 3, 2012 at 8:04am
What's that saying again, some kind of minds thinking alike ?? lol

Algebra  MathMate, Sunday, June 3, 2012 at 8:07am
Great minds think alike! haha!
Answer This Question
Related Questions
 College Math  A temperature of 38 degrees Fahrenheit (F) is equivalent to 276....
 question  A temperature of 41 degrees F is equivalent to 278.2 degrees K, while...
 Proportions  To convert a temperature in degrees Celsius to degrees Fahrenheit...
 math  The temperature on one day in January for Phoenix, AZ, is 59 degrees ...
 Math  To convert a temperature in degrees Celsius to degrees Fahrenheit ...
 Math  To convert a temperature in degrees Celsius to degrees Fahrenheit ...
 Algebra  Write an equation in pointslope form to represent each situation. ...
 Algebra  In the metric system there are two official temperature scales: degree...
 physics  You work in a materials testing lab and your boss tells you to ...
 algebra 1  The formula used to convert temperature measurements from degrees ...
More Related Questions