`the bacterium houstonius cougarensis has a generation time of 20 minutes starting with one cell in log phase how many minutes does it take to produce 1000 cells`

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Posted 6 months ago

Answer

It takes 200 minutes to produce 1000 cells of Houstonius cougarensis.

Solution

a

Calculate the number of generations required to reach 1000 cells: To find the number of generations (n), we use the formula $2^n = \text{number of cells}$. We need to solve for n when the number of cells is 1000

b

Use logarithms to solve for n: Taking the logarithm of both sides of the equation $2^n = 1000$, we get $n \log(2) = \log(1000)$. Solving for n gives $n = \frac{\log(1000)}{\log(2)}$

c

Calculate the total time: Multiply the number of generations by the generation time to find the total time in minutes. If the generation time is 20 minutes, then the total time (T) is $T = n \times 20$ minutes

Key Concept

Bacterial growth and generation time

Explanation

The generation time is the time it takes for a bacterial population to double. To find the total time for a population to reach a certain size, we calculate the number of generations required and multiply by the generation time.

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