Question

theoretical example of exponential growth

inter EXERCISE 1 Understanding Population Growth row in a prea logarithmictive capacity With optimal conditions (e.g., unrestricted resources and low competition), some populations grow in a predicable pattern. Early growth is relatively slow, after which growth is rapid. This rapid, logarithmic phase of growth represents the organism's blotic potential, which is its maximal reproductive capacity if given unlimited resources, exponential growth. N=(a)(21 Where: N = the number of individuals of a given generation. a = the number of individuals present initially. n = number of generations. POPULATION SIZE (N) + ++++ ++ TIME (1) FIGURE 2 Graph demonstrating exponential growth Exercise 1. Theoretical example of exponential growth Image that on the first day of the month you have a single aphid on your tomato plant. The next day it produces a clone so that you now have 2 aphids on your plant, and on the third day each produces a clone so that there are 4 aphids on the plant, and so on. If each aphid produces clones every day of the month, how many aphids would you have feeding on your tomato plant end of 20 days? Calculate the growth of the aphid population over 20 days using the formula for exponential growth, and record the values below.

Answer 1

N=@)Q9) a = 1 (present initially) n = 20(no. of generation N = 1x220 = 1048576 indiveduals.