- #1
justin345
- 15
- 0
Homework Statement
and after 3 hours there are 600 bacteria. Assuming bacteria grow at rate proportinal to their size, which means you can use the function, y=Aekt, where y is the number of bacteria and t is time in hours.
1) find the number of bacteria after 5 hours,
2) when will the population reach 2,000?
Homework Equations
The Attempt at a Solution
First, find k:
600=300e3k
2=e3k
k=1/3*ln(2)=0.231
1) y=300e5*0.231=952.207
2) 2000=300e0.231t
6.667=e0.231t
t=1/0.231 ln (6.667)=8.21
Please check my answers.
J.