OpenStudy (anonymous):

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?

5 years ago
OpenStudy (aravindg):

first of all : \[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]

5 years ago
OpenStudy (anonymous):

lol

5 years ago
OpenStudy (aravindg):

ok now to your question: first use the given information to get value of k

5 years ago
OpenStudy (aravindg):

@cozyfire just use the equation and substitute values

5 years ago
OpenStudy (aravindg):

k is the unknown

5 years ago
OpenStudy (anonymous):

umm k=0.109861228 what's next??

5 years ago
OpenStudy (aravindg):

if you get the value of k use the equation again to get P .

5 years ago
OpenStudy (aravindg):

because with k known p is thee only unknown in the second part of question

5 years ago
OpenStudy (anonymous):

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

5 years ago
OpenStudy (aravindg):

eliminate e ? then how did you get k value?

5 years ago
OpenStudy (aravindg):

in btw the k value you reported is correct as well as accurate :)

5 years ago
OpenStudy (anonymous):

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

5 years ago
OpenStudy (aravindg):

well lets look at second part then

5 years ago
OpenStudy (aravindg):

you got k value as .109 Now \[\large P=1000 e^{0.109 \times 10}\]

5 years ago
OpenStudy (aravindg):

e approx value is 2.718

5 years ago
OpenStudy (aravindg):

can you do it now?

5 years ago
OpenStudy (aravindg):

oops one correction its 5 not 10

5 years ago
OpenStudy (anonymous):

yup thank u very much!!

5 years ago
OpenStudy (aravindg):

yw :)

5 years ago
OpenStudy (anonymous):

Your welcome :) lol jk

5 years ago