7. Model Comparisons for Canada The U.S. Census has a model that predicts country population values for future years. Their model is a bit more sophisticated than the exponential or affine models that you derived. The population projections for Canada, based on their model, are given below. Country: Canada year n Census Bureau year n Census Bureau predicted population predicted population 2010 0 33,759,742 2035 25 39,395,855 2015 35,099,836 2040 30 40,070,226 2020 10 36,387,359 2045 35 40,635,090 2025 15 37,558,781 2050 40 41,135,648 2030 20 38,564,870 a) On a single set of axes, plot the population predictions for Canada based on 3 models: Census Bureau, your exponential difference equation, and your affine difference equation. Connect each with a smooth curve. Use a full piece of graph paper and label each of the plots. b) Compare the exponential and affine difference equations for Canada. Also compare the predicted values over the 40-year period from 2010 to 2050. c) The affine model and the Census model give somewhat different predictions. By what percent does the affine model exceed that of the Census model after 10 years? After 40 years? If necessary, consult the Chapter 2 material on percentage difference