Question: Question 4 (20 Marks) Consider a certain bacterium that, once in a suitable environment, reproduces with an observed constant doubling time of 2 hours. A

 Question 4 (20 Marks) Consider a certain bacterium that, once in

Question 4 (20 Marks) Consider a certain bacterium that, once in a suitable environment, reproduces with an observed constant doubling time of 2 hours. A 25-milligram mass of the bacteria is present on the initial infection. a) What type of mathematical function between mass of bacteria and time is indicated by this information? b) At what time will the amount of the bacteria reach 120 milligram? c) What mass of bacteria will be present one day after infection? d) From this doubling time, calculate the rate at which the bacteria are reproducing per hour. e) Write the formula for the model to describe the reproduction of the bacteria. f) After what time will the bacteria mass reach 1.0 gram? g) What is the problem with the predictions from this model

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