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QUESTION 8 A colony of bacteria in a petri dish triples in size every 24 hours. Assuming the colony started with 10 bacteria, (@) Determine

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QUESTION 8 A colony of bacteria in a petri dish triples in size every 24 hours. Assuming the colony started with 10 bacteria, (@) Determine how many bacteria there would be after one day and how many there would be in two days: Days 0 1 2 Number of bacteria 10 30 90 (b) What is the exponential model that best fits the data set? Write it in the form that Excel provides, reporting the exact numbers that Excel shows. y = 10 e^( 1.0986 *x) (c)Write the exponential model using B as the number of total bacteria and t as the number of elapsed days . BE At (d) Determine the growth rate of the model as a percentage, rounded to two decimal places. % (e) Use the most accurate model to predict the number of bacteria in the colony after 2 weeks. (Hint: use the equation in part b)

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