7) Modeling a Population Provide a solution to this modeling problem. (10 marks) Years since 1901 Canadian Population (estimate) 6097000 5 n 25 1921 9451000 1926 30 10377000 1931 35 10950000 1936 11507000 1941 12292000 \" \"\" \"\" 1966 70 21981999 1971 75 23449791 -_ 1981 85 26101155 \"\" \"\" Every year Statistics Canada prepares estimates and projections of Canada's population. The estimated popuiation of Canada since 1901 is given in the table above. Questions to Answer for 07 Answer the following questions about the Canadian population data. a) Use the data from the table to create a scatter plot in a spreadsheet / google sheet. b) Create a curve of best fit (with a polynomial degree of your choice from 2 to 6). Add a trendline & include it with your solution. c) What is the equation of the (polynomial) function that could mode! this data? d) What is the derivative of this function? e) Predict the population of Canada in 2020. What assumptions do you need to make? f) Make an estimate of the population of Canada in 1973 using the equation of the function. 9) Determine the rate at which the population ofCanada is increasing in 1996. h) How long will it take Canada to reach a population of 50. 000. 000? i) Sketch/plot the derivative of the function. Discuss the properties of the derivative function in relation to the original function. STRAIGHTEN