Two strains of bacteria are growing in separate Petri dishes. Initially, there are 300 Strain A 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. 1. 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. Should be answered in form PA(t)=Cebt for some numers C and b.
Two strains of bacteria are growing in separate Petri dishes. Initially, there are 300 Strain A 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.
1. 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. Should be answered in form PA(t)=Cebt for some numers C and b.
2.The population of Strain B bascteria after t hours can be modelled by PB(t)=(200/3) 32t How many strain B bacteria were present initally. Round to nearest integer.
3. After how many hours will the two populations be equal in number? Give an exact number.
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