Bacteria culture starts with 300 bacteria

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In summary, using the function y=Aekt, where y is the number of bacteria and t is time in hours, we can find the number of bacteria after 5 hours to be 952 and the time at which the population will reach 2,000 to be 8.21 hours.
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justin345
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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.
 
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  • #2
Your first answer should not be a fraction- the "number of bacteria" must be an integer. Use 952.

You should always include units. For number 2 your answer should be "8.21 hours".

Other than that, they are correct.
 

1. How does a bacteria culture start with 300 bacteria?

Bacteria cultures are typically started by taking a small amount of bacteria from an existing culture and transferring it to a sterile growth medium. The initial amount of bacteria used will depend on the experiment or application, but starting with 300 bacteria is a common practice.

2. Why do scientists start bacteria cultures with 300 bacteria?

Starting with a specific number of bacteria allows scientists to control the growth and proliferation of the bacteria in the culture. Too few bacteria may not yield enough material for experiments, while too many bacteria can lead to overcrowding and competition for resources.

3. Is starting with 300 bacteria a standard practice in all experiments?

No, the number of bacteria used to start a culture may vary depending on the specific experiment or application. Some experiments may require a larger or smaller initial amount of bacteria, while others may use a different type of starting material, such as a bacterial colony.

4. How long does it take for 300 bacteria to grow into a visible culture?

The growth rate of bacteria can vary depending on the type of bacteria and the conditions of the growth medium. However, in most cases, 300 bacteria can grow into a visible culture within 24-48 hours under optimal conditions.

5. Can starting with 300 bacteria lead to inaccurate results in experiments?

Starting with 300 bacteria is generally considered a reliable and consistent practice in bacterial cultures. However, the accuracy of experimental results may depend on other factors such as the quality of the growth medium, the environment, and proper handling and technique during the experiment.

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