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Math Help - Exponential decay-Carbon Dating

  1. #1
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    Question Exponential decay-Carbon Dating

    when an animal dies (t=0) the cabon-14 (which has a half life of 5730 years) begins to decay. The percent of carbon-14 present at time t, in years, is given by N=100(0.5)^t/5730

    I know the basic shape is 0.5^t
    and 100(0.5)^t is a vertical shift, but i cant figure out what transformation 0.5^t/5730 is,
    im also not sure which points to begin with (0,1) and (1,5) OR (1,0) (5 1)?
    AND THEN
    determine the age of a bone if it now contains 75% of the carbon 14 it had when the animal died (t=0)

    please AND THANKYOU
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  2. #2
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    "100*" is not a vertical shift, though there may be an equivalent vertical shift for this type of function. "100*" is a vertical stretch.

    "t/5730" is a horizontal compression.
    Last edited by TKHunny; November 28th 2007 at 05:31 AM.
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  3. #3
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    ugh thats what i meant.
    sorrrrryyy
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  4. #4
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    Solve away...

    75=100(0.5)^(t/5730)
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