Question

part 2: exploring bacteria population growth
the graph below contains data for the population growth of a hypothetical bacteria population.

• identify the point (portion) in the population size. you should note two observations.
• based on the graph, what do you observe about active growth? if addressed, how

much it balanced out

• construct an explanation for why bacteria dont take over the world.

the population growth of bacteria reaches its carrying capacity around day 25. based on your observations,
develop a definition for carrying capacity below.
part 3: mark and recapture
population estimate=(total number captured)×(number marked)/(total number captured with mark)
q. a biologist originally marked 40 butterflies in wilson park. over a month - long period butterfly traps caught 200 butterflies. of those 200, 80 were found to have tags. based on this information, what is the estimated population size of the butterflies in wilson park? show work.

Explanation:

Step1: Identify values from problem

Let the total number of captured butterflies be $n = 200$, the number of marked butterflies be $M=40$, and the number of captured - marked butterflies be $m = 80$.

Step2: Apply mark - recapture formula

The population estimate formula is $N=\frac{n\times M}{m}$. Substitute the values: $N=\frac{200\times40}{80}$.

Step3: Calculate the population estimate

First, calculate $200\times40 = 8000$. Then, $\frac{8000}{80}=100$.

Answer:

The estimated population size of the butterflies in Wilson Park is 100.