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Math Help - writing equations

  1. #1
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    writing equations

    Let us pretend we do not know the conversion for Celsius to Fahrenheit. It is known that water freezes at 0 degrees C and 32 degrees F and boils at 100 degrees C and 212 degrees F. If C represents the temperature in degrees Celsius, give an expression that represents the corresponding temperature in degrees Fahrenheit.
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  2. #2
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    Quote Originally Posted by ihavvaquestion View Post
    Let us pretend we do not know the conversion for Celsius to Fahrenheit. It is known that water freezes at 0 degrees C and 32 degrees F and boils at 100 degrees C and 212 degrees F. If C represents the temperature in degrees Celsius, give an expression that represents the corresponding temperature in degrees Fahrenheit.
    Hi ihavvaquestion,

    firstly, you'd need to know whether or not the conversion is linear or non-linear.

    For temperature conversion, both linear scales,
    we have a linear relationship.

    As the Fahrenheit temperatures are higher,
    we will use the y=mx+c linear conversion

    y=mx+c\ \Rightarrow\ F=kC+F_0

    As 0 Celsius is 32 Fahrenheit...

    F=kC+32

    Using 212 F = 100 C, we find k

    212=100k+32

    212-32=100k

    180=100k

    k=\frac{180}{100}=1.8

    F=1.8C+32
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