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kngyn

  • 3 years ago

A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential model for the size of the culture as a function of time t in hours

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  1. EngineerChris
    • 3 years ago
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    a(t)=Ae^rt

  2. EngineerChris
    • 3 years ago
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    3000=1500e^4r

  3. EngineerChris
    • 3 years ago
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    ln2=4r

  4. EngineerChris
    • 3 years ago
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    t=ln2/4

  5. EngineerChris
    • 3 years ago
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    a(t)=Ae^(ln2)t/4

  6. EngineerChris
    • 3 years ago
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    sry... r = (ln2)/4 the last answer is still correct

  7. EngineerChris
    • 3 years ago
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    Valpey, what do you think?

  8. shanna
    • 3 years ago
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    P = Noe^(kt) where P is amount after t time No is the initial amount . No is 1500 bacteria doubles in size every 4 hours so when t=4, P = 3000 3000 = 1500e^(4k) 2= e^(4k) ln(2) = 4k ln(2)/4 = k 0.17328679513999 =k so k=0.1733 P = 1500e^(0.1733t) so required equation is . F(t) = 1000e(0.34657t)

  9. Annand
    • 3 years ago
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    initially its 1500 after 4hrs it becomes 1500*2 after 8 hrs----> 1500*2^2 after 12hrs---->1500*2^3 . . . after 4*t hrs---->1500*2^t so after t hrs its given by \[1500*2^t/4\]

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