Please Help! Exponential Functions

Question

Three Algebra students are comparing how fast their social media posts have spread. Carter shared his post with 10 friends, who each share with only 2 people each day. Write an exponential function to represent the spread of Carter's social media post.

 

- Can somebody please walk me through the steps of solving this?

Answer 1

Exponential functions follow this form:

 

f(x)=ar^x where a is the number of people who first get the photo, r is the number of people each of them share it with and x is the number of days shared.

 

Therefore, Carter's exponential function should look like f(x)=10(2)^x

 

He initially shared with 10 people who each shared with 2 friends, and this number grows exponentially as the days go by.