LOGARITHMS
(a) Use Desmos to create a table with 3 columns and enter the values for x, A and ln(A) using the data from the table above. Plot the (x, A) and (x, ln(A)) coordinates on the same Desmos graph.
(b) Use Desmos to find and a line of best fit1 for the (x, ln(A)) coordinates and plot using Desmos for x ≥ 0.
(c) Write down the values of m and c found in part (b) to 6 decimal places.
(d) Use the values of m and c to find the approximate values of a and k for the exponential model y = aekx to 6 decimal places. Show your working and plot this equation using Desmos for x ≥ 0.
(e) Using the exponential model found in part (d), predict the number of active facebook users 10 years after the initial launch of Facebook.
(f) Comment (in one or two sentences) on whether this is a reliable model to use to predict the number of Facebook users in the year 2019.
DETAILED ASSIGNMENT
