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  • 5 years ago

use the formula P=Ie^kt. a bacterial culture has an initial population of 10000 . If its population declines to 3000 in 8 hours , what will it be at the end of 10 hours ?

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  1. anonymous
    • 5 years ago
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    P(0)=10000, substitute this info into the equation P=Ie^kt, 10000=Ie^0 implies 10000=I, updating the equation, P(t)=10000e^kt P(8)=3000, substitute this into the equation above, 3000=10000e^8k, 0.3=e^8k, put natural logarithm at both right hand side and left hand side of this equation, ln 0.3 = 8k, 1/8 ln 0.3 = k -0.1505=k now we have P(t)=10000e^(-0.1505t). just plug in t=10 into the equation and you'll get the answer :)

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