College Math
posted by Richard D on .
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 pointslope method) (b) What is the Fahrenheit temperature when it is 195 degrees K?

look at it as two ordered pairs,
(276.483,38) and
(297.039,75) as (K,F)
slope = (7538)/(297.039276.483)
= 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