A. Spread of Disease You and a friend are infected with a particularly nasty and virulent cold, but you are determined to go to a party tonight! This cold is so infectious that when you touch someone they are most likely to get infected, too. Let's assume that both of you sneeze on, cough on, shake hands with, hug, high-five, share a drink with, or smooch someone at an average rate of 2 people per hour. What will the viral transmission look like at this doomed party!? Number of Hours Number of People After Arrival, t Infected, N 1st Differences 2nd Differences Ratio of "y-values" Let's try to model this situation with an equation. Let N represent the total number infected after t hours. Number of Number of People Infected, N Hours After Arrival, t Expanded Form Exponential Form where : Therefore, the equation that models our sorry party is: "N" represents "t' represents "2" represents "3" represents