7) Modeling a Population Provide a solution to this modeling problem. (10 marks) Year 1901 Years since 1901 to Canadian

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7 Modeling A Population Provide A Solution To This Modeling Problem 10 Marks Year 1901 Years Since 1901 To Canadian 1 (51.94 KiB) Viewed 26 times

7 Modeling A Population Provide A Solution To This Modeling Problem 10 Marks Year 1901 Years Since 1901 To Canadian 2 (52.24 KiB) Viewed 26 times

7) Modeling a Population Provide a solution to this modeling problem. (10 marks) Year 1901 Years since 1901 to Canadian Population (estimate) 6097000 7207000 8001000 1906 5 م 1911 15 1916 20 1921 25 1926 30 1931 35 8788000 9451000 10377000 10950000 11507000 12292000 14009000 16081000 1936 40 1941 45 1946 50 1951 55 1956 60 1961 65 18238000 20015000 21961999 1966 70 1971 75 23449791 24820393 1976 80 1981 85 26101155 1986 90 1991 95 28031394 29610757 31021251 1996 100 2001 105 32623490
Every 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/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 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) Sketch/plot the derivative of the function. Discuss the properties of the derivative function in relation to the original function.