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The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 55,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 55,000 = 25(10)2t?

 Mar 14, 2016
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55,000 = 25(10)2t?,

Solve for t:

55000 = 500 t Divide both sides by 500

t=110 hours.

 Mar 14, 2016

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