assignment 19

Question 11 (3 points) Given f(x) = and g(x) = 3x - 1, determine (f . g)(x) and its domain. Question 12 (5 points) The data below represents Canada's population. Year Population 1000s 1911 7,207 1921 8,788 1931 10,377 1941 11,507 1951 14,009 1961 18,238 1971 21,568 1981 24,343 1991 27,297 2001 30,007 Using the table, find the average rate of change a) from 1911 to 1961 b) from 1951 to 1961 c) Is it possible to calculate the instantaneous rate of change in 2001? Explain.Question 13 (5 points) Paolina has is an artist that can create 18 math paintings per day. Someone is willing to pay Paolina $35/paints plus $1000 bonus. a. Find an algebraic expression that relates the number of paintings Paolina paints the number of days she paints. b. Find and algebraic expression that relates the revenues based on the number of paintings sold. c. Create a composite function that relates the number of days Paolina paints with the revenue she can generate. d. How much will Paolina make if she paints for 5 days?Question 14 (13 points) The data below illustrates Canada's median age as a relation to time Year Median Age 191 1 23.8 1921 23.9 1931 24.7 1941 27 1951 27.7 196 26.3 1971 26.2 198 29.6 1991 33.5 2001 37.6 . Graph the data using technology and paste the graph on the test. b. Find the algebraic model that best describes the data. c. Using your equation, determine the average rate of change between; . 1950 to 1960 1980 to 2000 J. What stantaneou rate of change be in 2010? Is Canada's median age in r decreasing? Suggest reasons why this Is occur