## cozyfire 2 years 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?

1. AravindG

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

2. donimic4

lol

3. AravindG

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

4. AravindG

@cozyfire just use the equation and substitute values

5. AravindG

k is the unknown

6. cozyfire

umm k=0.109861228 what's next??

7. AravindG

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

8. AravindG

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

9. cozyfire

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

10. AravindG

eliminate e ? then how did you get k value?

11. AravindG

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

12. cozyfire

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

13. AravindG

well lets look at second part then

14. AravindG

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

15. AravindG

e approx value is 2.718

16. AravindG

can you do it now?

17. AravindG

oops one correction its 5 not 10

18. cozyfire

yup thank u very much!!

19. AravindG

yw :)

20. donimic4

Your welcome :) lol jk