Homework Help: College Math

Posted by Richard D on Friday, October 19, 2012 at 11:57am.

A temperature of 38 degrees Fahrenheit (F) is equivalent to 276.483 degrees Kelvin (K), while a temperature of 75 degrees F is equivalent to 297.039 degrees K. (a) Using the algebra methods from this class, find the equation converting Kelvin temperature to Fahrenheit.(Hint: find the slope, and then use the point-slope method) (b) What is the Fahrenheit temperature when it is 195 degrees K?

College Math - Reiny, Friday, October 19, 2012 at 12:25pm
look at it as two ordered pairs,
(276.483,38) and
(297.039,75) as (K,F)

slope = (75-38)/(297.039-276.483)
= 1.79996 or 1.8

F = 1.8K + b
using (276.483,38)
38 = 1.8(276.483) + b
b = -459.6694

F = 1.8K - 459.6694

(test for 297.039, 75)
LS = 75
RS = 1.8(297.039) - 459.6694 = 75 , looks good

so for K = 195
F = 1.8(195) - 459.6694 = -108.6694

check my arithmetic

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