A rumor is spreading across a local college campus that there will be no finals for any classes this summer. At 8:00 AM today, 7 people have heard the rumor. Assume that after each hour, 3 times as many students have heard the rumor. For example, 21 people have heard the rumor by 9:00 AM. LetR(t)represent the number of people who have heard the rumorthours after 8:00 AM.
a) Write an equation for a model ofR(t).
b) How many people have heard the rumor by noon?
c) How many people have heard the rumor by 8:00PM?
d) Are your answers to (b) and (c) believable? Why or why not?