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(c) Based on the data, describe the time period during which Chlorella approximates exponential growth. Based on
the data and assuming logistic growth, describe the time period during which the Chlorella population has reached
the carrying capacity of the culture. Based the data, calculate the growth rate per day for the 5-day period with
the greatest growth rate.

Sagot :

marianaegarciaperedo

Populations that experience a logistic growth model depend on the density and available resources. A) 5 - 10 days. B) 25 - 30 days. C) 0.27 x 10⁶cells/mL/day

What is the logistic growth model?

In a logistic growth model, the population growth depends on density. Natality and mortality depend on the population size, meaning that there is no independence between population growth and population density.

When a population grows in a limited space, density rises gradually and eventually affects the multiplication rate. The population per capita growth rate decreases as population size increases.

The population reaches a maximum point delimited by available resources, such as food or space. This point is known as the carrying capacity, K.

K is a constant that equals population size at the equilibrium point, in which the natality and the mortality rate get qual to each other.

Assuming that the population size is N, when

  • N<K, the population can still grow.
  • N approximates to K, the population's growth speed decreases.
  • N=K the population reaches equilibrium,
  • N>K, the population must decrease in size because there are not enough resources to maintain that size.  

The sigmoid curve represents the logistic growth model.

In the example,

  • Between 0 and 5 days the population remains relatively stable
  • Between 5 and 10 days Chlorella approximates exponential growth.
  • Between 10 and 20 days Chlorella experiences exponential growth.
  • Between 20 and 25 days the population is near the K and decreases its growth rate.
  • From 25 to 30 days, the population reached the equilibrium point, and got to stabilize.  

Time period during which Chlorella,

          A) approximates exponential growth ⇒ Between 5 and 10 days

Between 10 and 20 days its already exponential growth.

         B) has reached the carrying capacity of the culture ⇒ 25 to 30 days

Finally,

        C) Growth rate per day for the 5-day period with the greatest growth rate.

First we need to figure out during which period Chlorella experiences the  greatest growth rate. To do it, we just need to make the following substraction,

Growth rate per period = final concentration - initial concentration

  • Period 0-5 ⇒ 0.08 - 0.01 = 0.07
  • Period 5-10 ⇒ 0.55 - 0.08 = 0.47
  • Period 10-15 ⇒ 1.9 - 0.55 = 1.35
  • Period 15-20 ⇒ 2.8 - 1.9 = 0.9
  • Period 20-25 ⇒ 3.2 - 2.8 = 0.4
  • Period 25-30 ⇒ 3.2 - 3.2 = 0  

Now we know that during the period from 10 to 15 days, the population experienced its greatest growth rate. But this rate is acchieved in 5 days. Now we need to find out the growth rate per day. So all we need to do, is to divide the result of the substraction per 5 days,

1.35 x 10⁶ / 5 days = 0.27 x 10⁶ cells/mL/day

The answer is 0.27 x 10⁶ cells/mL/day

You can learn more about logistic growth model at

https://brainly.com/question/16354435

https://brainly.com/question/15631218

View image marianaegarciaperedo
View image marianaegarciaperedo
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