Question

1. You monitor the population size of Euphorbia marginata (Snow on the Mountain), a native prairie plant that is an annual (i.e. reproduces synchronously once per year and then dies). Your monitoring efforts indicate that the population size increases by 9% every year. Assuming density independent growth and an initial population size of 300 individuals: thus In how many years will the population size reach 1000 individuals?

   hint :If you don’t recall how to solve exponential equations, here is a reminder:

   Step 1: Isolate the term with the exponent to one side of the equation (hint: this may involve dividing both side of the equation by N_0­)

   Step 2: Take the log of both sides, taking advantage the log rule, which says that powers inside a log can be moved out in front as multipliers: log(a^b) = b*log(a

Answer 1

Solution Data Liven is intial population is 300 individuals, Growth sate is 8% To calculate population growth ose the formula given below . A= PORT A. Here we are calculation population Size after 5 Yecors So, t = 5 years So now, A- 300 x 20.0845 = 300x60-44 300 x 1.49 7447 individuals B. Now we want t where individuals no will be 1000 A = PRT A : 1000 individuals. Pa 300 individuals , 80.08.= ? 1000 - 300x@0-087 1000/300 = €9:08t In 3.33 -0.084 . 1:203=0.08€ 3:15 Years