Imagine a community of school children some of whom have contracted measles. The entire school population is divided into 3 groups - those susceptible to measles (S), Those who are actively infected with measles (1), and those who have recovered from the disease (R) A. Suppose that experience in similar situations has shown that when there are 2100 children currently infected and 2500 children who have already recovered, there would be approximately 7600 exposures of susceptible children (those not infected or already recovered) to infected children each day. 1. Represent as a fraction the number with unit designation "exposures of susceptible children to infected children per day per infected child." 2. When 2100 of the 50000 children are actively infected and 2500 have already recovered, how many remain susceptible? 3. Use your answer for A.2 to extend your answer for "A,1" above so that it becomes a fraction with unit designation "exposures of susceptible children to infected children per susceptible child per day per infected child." B. Suppose it is known from past experience that for about every eight exposures of a susceptible child to an infected child, one of those susceptible children will become infected. Represent as a fraction the number with unit designation "newly infected children per exposure to an infected child." C. These questions are about the product of your answer for A,3 and your answer for "B": 1. Give the unit designation for this product. 2. Compute this product accurate to the fifth decimal place. Imagine a community of school children some of whom have contracted measles. The entire school population is divided into 3 groups - those susceptible to measles (S), Those who are actively infected with measles (1), and those who have recovered from the disease (R) A. Suppose that experience in similar situations has shown that when there are 2100 children currently infected and 2500 children who have already recovered, there would be approximately 7600 exposures of susceptible children (those not infected or already recovered) to infected children each day. 1. Represent as a fraction the number with unit designation "exposures of susceptible children to infected children per day per infected child." 2. When 2100 of the 50000 children are actively infected and 2500 have already recovered, how many remain susceptible? 3. Use your answer for A.2 to extend your answer for "A,1" above so that it becomes a fraction with unit designation "exposures of susceptible children to infected children per susceptible child per day per infected child." B. Suppose it is known from past experience that for about every eight exposures of a susceptible child to an infected child, one of those susceptible children will become infected. Represent as a fraction the number with unit designation "newly infected children per exposure to an infected child." C. These questions are about the product of your answer for A,3 and your answer for "B": 1. Give the unit designation for this product. 2. Compute this product accurate to the fifth decimal place