A population of bacteria in a culture increases according to the model P(t) = 725 e .023t where t is measured in hours and t = 0 corresponds to 7:00 am.

i) Use this model to estimate the number of bacteria at 8:30 am.

ii) Use this model to estimate the number of bacteria at 9:00 pm.

iii) Sketch the graph of P for 0 < t < 20.

 

Show work. What t value corresponds to the time of 8:30 am ?

 

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