2. (8 points) One person with the u enters a town with a population of 200. The number of people who have been infected undergoes logistic growth, and initially just the one person is infected. After one week, 40 people have been infected. a. (5 points) Find the function P(t) giving the number people who have been infected after 23 days. (Give the constants in your equation as decimal answers, with two numbers after the decimal place. You may use a calculator.) b. (3 points) When will 100 people have been infected? (Give a decimal answer, with two numbers after the decimal place. You may use a calculator.)