(Show all Work!!) A terrible virus has been unleashed by mathematics teachers everywhere. There is no escape. It has been dubbed the worst pandemic of the millennium. Scientists have labeled this virus T.O.M. (Tired of Math), because let's face it.at this stage of the semester, you too, are probably a little tired of math. TOM is very contagious. It seems as soon as one person admits to being inflicted with TOM, all surrounding individuals seem to become inflicted immediately after. Masks or medical vaccines do not help. Symptoms include, missing class, poor test results, whining, and possibly even failure. The first initial cases were traced back to the university of Toledo, and an approximate record of the number of cases is shown below. Total T.O.M. Infections 440 420 400 2 42 2 0 2 2 1 1 380 360 340 8588 Total Infected o 8 8 8 8 8 8 8 8 8 8 2 3 4 5 6 7 8 9 10 11 12 1 13 14 15 Weeks after start of semester 1.) Create an exponential model A(t) = doert for the spread of the TOM virus where t represents the number of weeks after the start of the semester. (20 pts) a.) What points did you use to construct your model? (5 pts) b.) What was the initial number of infected? Show how you calculated this. (5 pts) c.) What is your complete exponential modeling equation? Show how you created this model. (10 pts)