The average typing speeds S (in words per minute) of a typing student after t weeks of lessons are shown in the table. t 5 10 15 20 25 30 S41 80 97 103 106 118 A model for the data is given by the following. S= 1201 57 +12 t>0 (a) Use a graphing utility to plot the data and graph the model. 120 120 100- 80 60 8 20 120 100 19 10 888 8 20 15 20 25 100- 80 60 0 20 05 10 15 20 25 30 120 100 80 (b) Does there appear to be a limiting typing speed? Yes No 8 00 10 15 20 40- 20 10 15. 20