cozyfire
In an experiment' the population P of bacteria in t hours is given by P=1000e^kt,where k is constant. If the size of the population of bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?
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AravindG
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first of all :
\[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]
donimic4
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lol
AravindG
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ok now to your question:
first use the given information to get value of k
AravindG
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@cozyfire just use the equation and substitute values
AravindG
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k is the unknown
cozyfire
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umm k=0.109861228 what's next??
AravindG
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if you get the value of k use the equation again to get P .
AravindG
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because with k known p is thee only unknown in the second part of question
cozyfire
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what i don't understand is how will you eliminate e using the calculator?? sorry we haven't discussed this yet it's our assignment to figure it out
AravindG
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eliminate e ? then how did you get k value?
AravindG
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in btw the k value you reported is correct as well as accurate :)
cozyfire
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well i kinda followed some equation and just substituted the values but if i will solve this i will get In(P/1000)=5k i don't know what to do next
AravindG
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well lets look at second part then
AravindG
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you got k value as .109
Now
\[\large P=1000 e^{0.109 \times 10}\]
AravindG
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e approx value is 2.718
AravindG
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can you do it now?
AravindG
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oops one correction its 5 not 10
cozyfire
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yup thank u very much!!
AravindG
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yw :)
donimic4
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Your welcome :) lol jk