7) Modeling a Population Provide a solution to this modeling problem. (10 marks) Year Years since 1901 Canadian Population (estimate) 1901 5 6097000 1906 10 7207000 1911 15 8001000 1916 20 8788000 1921 25 9451000 1926 30 10377000 1931 35 10950000 1936 40 11507000 1941 45 12292000 1946 50 14009000 1951 55 16081000 1956 60 18238000 1961 65 20015000 1966 70 21961999 1971 75 23449791 1976 80 24820393 1981 85 26101155 1986 90 28031394 1991 95 29610757 1996 100 31021251 2001 105 32623490 9Every year Statistics Canada prepares estimates and projections of Canada's population. The estimated population of Canada since 1901 is given in the table above. Questions to Answer for Q7 Answer the following questions about the Canadian population data. a) Use the data from the table to create a scatter plot in a spreadsheet I google sheet. b) Create a curve of best t (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 model 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 of Canada is increasing in 1996. h) How long will it take Canada to reach a population of 50, 000. 000? i) Sketchlplot the derivative of the function. Discuss the properties of the derivative function in relation to the original function