Math

The temperature in degrees Celsius (C) can be converted to degrees Fahrenheit (F) using the formula F(C)= 9/5 C+k, where k is a constant. Find k, if to C=−40ºC corresponds F=−40ºF.

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  1. F(C) = 9 / 5 C + k

    − 40º F = 9 / 5 ∙ ( - 40°C ) + k

    Mathematically:

    − 40 = 9 / 5 ∙ ( - 40 ) + k

    − 40 = 9 ∙ ( - 40 ) / 5 + k

    − 40 = - 360 / 5 + k

    − 40 = - 72 + k

    Add 72 to both sides

    − 40 + 72 = - 72 + k + 72

    32 = k

    k = 32

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