(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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=Ae^{kt}, 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?

2. Relevant equations

3. The attempt at a solution

First, find k:

600=300e^{3k}

2=e^{3k}

k=1/3*ln(2)=0.231

1) y=300e^{5*0.231}=952.207

2) 2000=300e^{0.231t}

6.667=e^{0.231t}

t=1/0.231 ln (6.667)=8.21

Please check my answers.

J.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Bacteria culture starts with 300 bacteria

**Physics Forums | Science Articles, Homework Help, Discussion**