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?

Question

aravindg · Answer

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

anonymous · Answer

lol

aravindg · Answer

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

aravindg · Answer

@cozyfire  just use the equation and substitute values

aravindg · Answer

k is the unknown

anonymous · Answer

umm k=0.109861228 what's next??

aravindg · Answer

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

aravindg · Answer

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

anonymous · Answer

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 · Answer

eliminate e ? then how did you get k value?

aravindg · Answer

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

anonymous · Answer

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 · Answer

well lets look at second part then

aravindg · Answer

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

aravindg · Answer

e approx value is 2.718

aravindg · Answer

can you do it now?

aravindg · Answer

oops one correction its 5 not 10

anonymous · Answer

yup thank u very much!!

aravindg · Answer

yw :)

anonymous · Answer

Your welcome :) lol jk