Apopulation of bacteria is growing according to the exponential model p = 100e.70t, where p is the number of colonies and t is measured in hours. after how many hours will 300 colonies be present? [round answer to the nearest tenth.]
a) 0.7
b) 1.6
c) 5.7
d) 7.2

The correct option is B). 1.6 years

Step-by-step explanation:

The model for the population of bacteria is growing by :

where P is the number of colonies and t is measured in hours.

Now, we need to find after how many hours will 300 colonies be present

So, Putting value of P = 300 in the above model and obtain the value of t

Therefore, The correct option is B). 1.6 years

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step-by-step explanation: