75,000 live bacteria are present in a culture in a flaskWhen an antibiotic is added to the culture, the number of live bacteria is reduced as shown by the equation. Approximately how many hours have passed when there are 4500 bacteria left alive? A. 16.0 hours
B. 16.4 hours
C. 16.6 hours
D. 16.2 hours

The number of bacteria at any time t where t is number of hours is given by the equation,

                               At = Ao(1/2)^t/4

where Ao is the original number of bacteria. Substituting the known values from the equation,

                               1500 = (75000)(0.5)^t/4

The value of t from the equation is equal to 22.57 hours.

160

step-by-step explanation:

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