Exponential Functions

Question

Three Algebra 1 students are comparing how fast their social media posts have spread. Ben shared his post with two friends. Each of those friends shares with 3 more everyday, so the number of shares triples every day.

_______________________

|  Day | Number of Shares  |          

|         |                            |                    

|   0              2

|  

|   2              6                 

|

|   3             18

                                       

                     

- That's the table my study guide provided for this problem. Can somebody please walk me through the steps of how I might solve this?                                                                    

Answer 1

day 1   2 friends           2*3^0

day 2   6 people           2*3^1

day 3   18 people         2*3^2

day 4   54 people         2*3^3

day 5   162 people       2*3^4

day 6   486 people       2*3^5

and so on...

2 is being multiplied by powers of 3

f(x)=2*3^(x-1) for x=1,2,3,4,5,6,7,... and x represents day 1, day 2, day 3, day 4, ...