calculus

C=
5
9
(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

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  1. C = (5/9)(F-32)
    change in C = (5/9) * change in F
    so change in F = (9/5) or 1.8 * change in C
    ====================================
    look at choice 1
    A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
    (5/9) degree Celsius.
    Is that true ?
    YES
    --------------------------------------------------------
    Look at choice 2
    A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
    YES
    ==============================
    look at choice 3
    A temperature increase of
    (5/9) degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
    NO
    if change in F = 5/9 then change in C =(5/9)(5/9) = 25/81

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  2. In other words dC/dF = (5/9) = delta C / delta F

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