The population of a culture of bacteria is modeled by the logistic equation    .To the nearest tenth, how many days will it take the culture to reach 75% of its carrying capacity? What is the carrying capacity? What is the initial population for the model? Why a model like  , where  is the initial population, would not be plausible? What are the virtues of the logistic model?

As N (population size) approaches K (carrying capacity) for a certain population, which ofthe following is predicted by the logistic equation?a) The growth rate will not change.b) The growth rate will approach zero.c) The population will increase exponentially.d) The carrying capacity of the environment will increase.

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420.

A bacterial population is exponentially growing at a growth rate of 0.1 per individual per hour. The initial population size is 1. Assume that 𝑙𝑜𝑔10(𝑒)=0.5. How many hours does it take for the population size to reach 1000? See if you can answer this question without using a calculator or computer.Group of answer choices1998069.0782300260

A culture of bacteria has an initial population of 83000 bacteria and doubles every 10 hours. Using the formula P, start subscript, t, end subscript, equals, P, start subscript, 0, end subscript, dot, 2, start superscript, start fraction, t, divided by, d, end fraction, end superscriptP t​ =P 0​ ⋅2 dt​ , where P, start subscript, t, end subscriptP t​ is the population after t hours, P, start subscript, 0, end subscriptP 0​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?

The logistic population growth is expressed by the equation