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Math Help - changing celsius to F

  1. #1
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    changing celsius to F

    45.7f = what in celsius

    Is this the equation I should be using

    C = F-32/1.8
    C= 45.7-32/1.8= 7.6
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  2. #2
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    Re: changing celsius to F

    check it yourself ...

    Fahrenheit to Celsius Converter
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    Re: changing celsius to F

    Quote Originally Posted by Louisana1 View Post
    Is this the equation I should be using

    C = F-32/1.8
    C= 45.7-32/1.8= 7.6
    The equation is wrong as written, though the answer 7.6 is (approximately) correct.
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    Re: changing celsius to F

    Your answer is correct but the correct equation for Fahrenheit to Celsius is :
    (F - 32) x 5/9 = C
    where F=45.7
    Thus,
    (45.7-32)*5/9=7.6

    Composition of Functions
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    Re: changing celsius to F

    To derive the formula, use the freezing and boiling points of water, to get the slope of the line:

    \frac{\Delta C}{\Delta F}=\frac{100-0}{212-32}=\frac{5}{9}

    Now, use the point-slope formula:

    C-0=\frac{5}{9}(F-32)

    C(F)=\frac{5}{9}(F-32)
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    Re: changing celsius to F

    Quote Originally Posted by Louisana1 View Post
    45.7f = what in celsius

    Is this the equation I should be using

    C = F-32/1.8
    C= 45.7-32/1.8= 7.6
    You mean C= (F- 32)/1.8. What you wrote really means C= F- (32/1.8)
    You can check that is correct by checking the "easy values". The freezing point of water is 0 C and 32F:
    (32-32)/1.8= 0/1.8= 0 so that is correct.
    The boiling point of water is 100 C and 212 F:
    (212- 32)/1.8= 180/1.8= 100 so that is correct.

    Since this is a "linear" equation and two points determine a line you know that is the correct formula for any F.
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