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For a patient the results from some tests and consultation with the relevant medical journals the diagnosis is Small Intestinal Bacterial Overgrowth SIBO Small Intestinal Bacterial Overgrowth The small intestine usually has about 10 000 bacteria per ml of fluid In this disorder there are about 100 000 bacteria per ml of fluid This disease of the gastrointestinal tract is caused by a slowing of the normal muscle activity in the small intestine This activity is responsible for routinely removing bacteria from the intestine The Treatment order to treat the disease it was essential to grasp the magnitude of the overgrowth caused by SIBO The bacteria population while symbiotic and essential for normal human life was simply overgrown causing the patient s weight loss through vitamin deficiency Question 5 10 marks The small intestine bacteria while inhabiting areas optimal for growth have a doubling time of roughly h h a your assigned number hours A normal small intestine starting population would be approximately 10K bacteria per ml of fluid a 2 marks Write an equation to model this exponential growth with b x representing the number of bacteria per ml and x representing the time in hours b 4 marks How long will it take for there to be 100K bacteria per ml Round your answer to two decimal places if necessary

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