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.
| t = 1.5 because 1.5 hours ellapses between 7:00 am and 8:30 am. | What t value corresponds to the time of 8:30 am ? |
| P(t) = 725 e (.023)(1.5) = 750 | Find the population correspond to t = 1.5 . Round the answer to the nearest whole number. |
| Show work. | What t value corresponds to the time of 9:00 pm ? |
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