11. Simran chose to take her high school classes online for a semester during the COVID 19 pandemic. While at home, she decided to track the number of active cases in Alberta bimonthly, between September 15' and December 15'. Below is the data she collected. Time bimonthl after Se l t. 1 Number of Active Cases Set. 1,2020 1390 S t. 15, 2020 1478 Oct. 1,2020 1664 Oct. 15, 2020 2776 Nov. 1, 2020 5971 Nov. 15, 2020 10 000 Dec. 1, 2020 17 037 a. Determine the equation of the exponential regression function, in the form C = ab' , that models the number of conrmed cases, C, as a function of time, t. Round a and b to the nearest hundredth. (1 mark) b. If no measures were taken to decrease the spread of COVIDl9, use the exponential regression equation to determine approximately when Alberta would theoretically have 60 000 active cases. Show or explain how you found the answer for lll marks. (2 marks) c. Determine the equation of the logarithmic regression function r = a +2)th , that models time, t, as a function of conrmed cases, C. Round a and b to the nearest hundredth. (1 mark) d. Use the logarithmic regression equation to determine approximately when Alberta would theoretically have 60 000 active cases if no measures were taken to decrease the spread of COVID-19. Show or explain how you found the answer for full marks. (2 marks) e. Compare your answers for part b. and d. Should they be the same or different? Explain any anomalies you see. (2 marks)