Submit test V The number of students that hear a rumor on a small college campus t days after the rumor starts is modeled by the logistic function R(t) = 8000 heard the rumor and 80 students heard the rumor after 1 day, complete parts a) through d) below. 1 + Bokt . if 10 students initially a) What is the carrying capacity for the number of students that will hear the rumor? C = b) Find B. B = c) Find k. k = (Type an exact answer in simplified form.) d) How long will it take 7900 students to hear the rumor? IN days answer. Then round to two decimal places as needed.)