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.
How many people have heard the rumor by the end of January 8th?
By the end of January 3rd, there will be 8 people who have heard the rumor (4 from January 2nd, and 4 new people).
By the end of January 4th, there will be 16 people who have heard the rumor.
By the end of January 5th, there will be 32 people who have heard the rumor.
By the end of January 6th, there will be 64 people who have heard the rumor.
By the end of January 7th, there will be 128 people who have heard the rumor.
By the end of January 8th, there will be 256 people who have heard the rumor.