Question

Equations that you may be asked to utilize N+1 = RN N(1) = N(O)At N(O) = N(Oert dN/dt = TN dN/dt = TN (K - N/K Average finite rate of increase = (N/N) (4) Time to reach a certain pop. size = logN, =logNo + f(logi) 2= el 1 = N/N, or Nr+/N, 1. You have been studying a species of annual plant in the local prairie for two years. You find there are currently 1256 plants, up from 989 plants in the first year of your study. (Please show your work) a) Calculate the geometric rate of increase (1) b) At its current rate of growth, how long will the population take to reach 5000 plants? C) What is the equivalent exponential growth rate (r) for the lambda calculated in part A. Students had been raising a small population of zebra finches (6 individuals) in the greenhouse one semester when they escaped and began to populate Rockingham County. Assume continuous population growth (the finches invade houses in the winter) and r= 1.2. (Please show your work) a) How large will the population be after 12 years? b) What is the corresponding geometric growth rate (2) for this population?

Answer 1

primary plant number (N = 989 Rirar e n in 1 year) N = 1256. (NEA) x = taille = 1256 = 1,269 989 0 rate (ar) - Euponential growth x = en 2 : xe - lege 1.269 2 0.2381 Nt - sooo NOS 989 7 a 1.269 ra 0.238 t ? a Nopt S600 = 9.89*(-2892 1.2 69² = sooo sro Ht = Netent 929 Sooo 1989e - s oss t = log1. 265.05 = 6.8. = 7. will take about a year to rach so It will take