College Math

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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 -

    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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