How Do You Calculate Bacterial Growth Using Exponential Equations?

In summary, the population of a bacteria culture was 200 after 15 minutes and 1500 after 40 minutes. Using the equation A=Pe^(rt), with a time of 120 minutes and a growth rate of 0.0806, the expected population is 952,023.0848. However, this answer may be incorrect due to rounding off decimal points.
  • #1
hsd
6
0

Homework Statement



The count in a bateria culture was 200 after 15 minutes and 1500 after 40 minutes.

Find the population after 120 minutes.

Homework Equations



A=Pe^(rt)

The Attempt at a Solution



I did
P=60e^(.0806 x 120)
P= 952023.0848 (answer is wrong)
 
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  • #2
hsd said:

Homework Statement



The count in a bateria culture was 200 after 15 minutes and 1500 after 40 minutes.

Find the population after 120 minutes.

Homework Equations



A=Pe^(rt)

The Attempt at a Solution



I did
P=60e^(.0806 x 120)
P= 952023.0848 (answer is wrong)

Your form also doesn't give quite the right answer for t=15 or t=40. I think you might want to keep more decimal points before rounding off.
 
Last edited:

Related to How Do You Calculate Bacterial Growth Using Exponential Equations?

What is the "Calculus Population Question"?

The "Calculus Population Question" is a mathematical problem that involves using calculus to model and predict changes in a population over time.

Why is the "Calculus Population Question" important?

The "Calculus Population Question" is important because it helps us understand and predict the growth or decline of populations, which can have significant impacts on various fields such as economics, biology, and sociology.

How is the "Calculus Population Question" solved?

The "Calculus Population Question" is solved using differential equations, which are equations that describe the relationship between a function and its rate of change. These equations can be solved using calculus techniques such as integration and differentiation.

What information is needed to solve the "Calculus Population Question"?

To solve the "Calculus Population Question", we need to know the initial population size, the growth or decline rate, and any external factors that may affect the population, such as birth rate, death rate, immigration, or emigration.

What are some real-life applications of the "Calculus Population Question"?

The "Calculus Population Question" has many real-life applications, including predicting the growth or decline of animal populations, analyzing market trends and predicting demand for products, and understanding the spread of diseases in a population.

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