An ecologist is studying a population of beetles and determinesN=2000. During same time (that the population is N=2000), he alsorecords 200 births and 120 deaths in the population over a onemonth period. Using this information, answer these questions.
a) Estimate r, the per capita growth rate in months and use itin the continuous model of population growth to estimate populationsize in 8 months.
b) Given the same per capita growth rate as above, how much timewill it take the population to double?
c) Assume K for this population is 8000 (and N=2000), is thepopulation growth rate increasing or decreasing?
d) Given that K = 8000, what is the population growth rate whenN=2000?
e) What is r in time units of years?