68.5k views
5 votes
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?

User Hhamm
by
8.0k points

2 Answers

3 votes

Answer:

256

Explanation:

User Alex Reitbort
by
7.7k points
3 votes
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
User Guzman Ojero
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories