2) Two strains of bacteria are growing in seperate petri dishes. Intitially, there are strain A 300 bacteria and, from a prior experiment, you know that the population should double every 20 minutes. Having never worked with strain B before, you monitor its growth over the first hour and notice that there are 200 bacteria after 30 minutes and 600 bacteria after 1 hour. a) Let t be the number of hours that have passed since the two populations of bacteria start growing. Express the number of strain A bacteria as a function of t. (Your answer should be of the form PA (t) = Ca bt for some numbers C, a and b.) b) Express the number of strain B bacteria as a function of t, (Again, your answer should be of the form P B (t) = Cabt for some numbers C, a and b, possibly different that those you found in (a)).) c) How many strain B bacteria were there intitially?
2) Two strains of bacteria are growing in seperate petri dishes. Intitially, there are strain A 300 bacteria and, from a prior experiment, you know that the population should double every 20 minutes. Having never worked with strain B before, you monitor its growth over the first hour and notice that there are 200 bacteria after 30 minutes and 600 bacteria after 1 hour.
a) Let t be the number of hours that have passed since the two populations of bacteria start growing. Express the number of strain A bacteria as a function of t. (Your answer should be of the form PA (t) = Ca bt for some numbers C, a and b.)
b) Express the number of strain B bacteria as a function of t, (Again, your answer should be of the form P B (t) = Cabt for some numbers C, a and b, possibly different that those you found in (a)).)
c) How many strain B bacteria were there intitially?
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