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anonymous

  • 5 years ago

You are working on a new temperature scale that will unify the earth. Let F denote the temperature in degrees Fahrenheit, let X denote your new temperature scale. You want it to be such that if F=0 then X=19 and if F=100 then X=107 . You also want X to be such that if you plot X against F you obtain a straight line. The formula X= mF + b Where M = ????? Where B = ?????

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  1. amistre64
    • 5 years ago
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    so they give us 2 "coordinates" to work with, and that is all you really need for a line right?

  2. amistre64
    • 5 years ago
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    0,19 and 100,107 lets find the slope between these points

  3. amistre64
    • 5 years ago
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    107-19 88 ------- = --- = 44/50 = 22/25 100-0 100

  4. amistre64
    • 5 years ago
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    M = 22/25 0 = (22/25)(19) + B 0 = 418/25 + B B = -418/25 simplify as needed :)

  5. amistre64
    • 5 years ago
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    and check as required lol.... i used it backwards

  6. amistre64
    • 5 years ago
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    M = 22/25 19 = (22/25)0 + B 19 = 0 + B B = 19 .... thats better ;)

  7. anonymous
    • 5 years ago
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    Thanks! Wow that worked out well:) that makes sense, thanks!!!

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