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Task IV: Global Population Growth (D2.1, 2.2,2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 3.1, 3.2 3.3) The global population has grown from 1 billion in 1800 to 7 billion in 2012. It is expected to keep growing. Estimations have put the total population at 8.4 billion by mid-2030, and 9.6 billion by mid-2050. Many nations with rapid population growth have low standards of living, whereas many nations with low rates of population growth have high standards of living. The following data gives the population over a period of 23 years in a developing country Population (thousands) 74.56 182.68 582.80 1466.92 3027.04 5455.16 8943.28 13683.4 19867.5 27687.6 37335.8 49003.9 Time (years) 15 17 19 21 23 Use Graphing Calculator to create a scatter plot of the data and determine a mathematical function model that represents this data. (Hint: it is a cubic function). 1, 2013 World Population Factsheet www.pbr.org.Population Reference Bureau. Retrieved 2
oe CrownAcademic iMA Questions: 1. Determine using Graphing Calculator or Fathom, the domain, range, maximum/ minimum points of the combining function d (o, which equal to the sum of the equations above (&.0. Explain what kind of factors will affect these properties? (k.t.c)D2.1XSpoints) Write the equation of the function that models this situation, with the necessary parameters (k.).Graph the function you determine using Graphing Calculator or Spreadsheet (k). Use the graph to determine the population rate of change of the whole time interval (k.t.a). Check that it models the growth of population correctly (k.o.(D2.2, 2.4 half, 2.6XSpoints 2. 3. Determine when the population growth reaches a minimum and what the minimum population growth is (k.t). Determine how long will it takes for this country to reach the population of I billion (k.t). Compare your results and verifying using Graphing Calculator(k.0(D3.3X3points) ener 4. a) Let f(x) 12xland g (x)log(x-9), determine the function y (f x(h.1x2points)
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