On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd,
four people have heard the rumor. On each subsequent day, each person who has heard the rumor spreads it to a new person. There are how many people who have heard the rumor by the end of January 8th?
The rumor is spreading to a double amount of people each time and started with only one person. On the first day, two people knew it. 2¹ = 2 On the second day, four people knew it. 2² = 4 On the third day, eight people knew it. 2³ = 8 On the nth day, the people that will know it = 2ⁿ Thus, on the eighth day: 2⁸ = 256 people will know it