Logarithmic functions

Assignment Booklet 7 Unit 7: Logarithmic Functions 10. The Spanish flu was a worldwide epidemic that began in 1918 and lasted approximately 2 years. During the first few months of the epidemic, the flu spread rapidly through a Canadian city as shown in the table below. Time (months) Number of Confirmed Cases 150 345 828 3 2484 4 6707 5 14084 a. Determine the equation of the exponential regression function, in the form C = ab' , that models the number of confirmed cases, C, as a function of time, t. Express the values of a and b to the nearest hundredth. (2 marks) b. Use the exponential regression equation to determine the time that it will take, to the nearest tenth of a month, for the number of confirmed cases to equal 20 000. Show or explain how you found the answer for full marks. (2 marks) C. Determine the equation of the logarithmic regression function t = a + bInC, that models time, t, as a function of confirmed cases, C. Express the values of a and b to the nearest hundredth. (2 marks) d. Use the logarithmic regression equation to determine the time it will take, to the nearest tenth of a month, for the number of confirmed cases to equal 20 000. Show your work for full marks. (2 marks)