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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?
 one year ago
 one year ago
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?
 one year ago
 one year ago

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AravindGBest ResponseYou've already chosen the best response.1
first of all : \[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
ok now to your question: first use the given information to get value of k
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
@cozyfire just use the equation and substitute values
 one year ago

cozyfireBest ResponseYou've already chosen the best response.0
umm k=0.109861228 what's next??
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
if you get the value of k use the equation again to get P .
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
because with k known p is thee only unknown in the second part of question
 one year ago

cozyfireBest ResponseYou've already chosen the best response.0
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
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
eliminate e ? then how did you get k value?
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
in btw the k value you reported is correct as well as accurate :)
 one year ago

cozyfireBest ResponseYou've already chosen the best response.0
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
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
well lets look at second part then
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
you got k value as .109 Now \[\large P=1000 e^{0.109 \times 10}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
e approx value is 2.718
 one year ago

AravindGBest ResponseYou've already chosen the best response.1
oops one correction its 5 not 10
 one year ago

cozyfireBest ResponseYou've already chosen the best response.0
yup thank u very much!!
 one year ago

donimic4Best ResponseYou've already chosen the best response.0
Your welcome :) lol jk
 one year ago
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