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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?

Mathematics
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first of all : \[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]
lol
ok now to your question: first use the given information to get value of k

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Other answers:

@cozyfire just use the equation and substitute values
k is the unknown
umm k=0.109861228 what's next??
if you get the value of k use the equation again to get P .
because with k known p is thee only unknown in the second part of question
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
eliminate e ? then how did you get k value?
in btw the k value you reported is correct as well as accurate :)
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
well lets look at second part then
you got k value as .109 Now \[\large P=1000 e^{0.109 \times 10}\]
e approx value is 2.718
can you do it now?
oops one correction its 5 not 10
yup thank u very much!!
yw :)
Your welcome :) lol jk

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