Answer: ![y=2(3)^x](https://tex.z-dn.net/?f=y%3D2%283%29%5Ex)
Explanation:
The general exponential function is written as :-
![y=Ab^x--------------(i)](https://tex.z-dn.net/?f=y%3DAb%5Ex--------------%28i%29)
,where y is the amount of the material after t years , A is the initial amount and b is the multiplicative rate of growth.
From the given table, the number of shares on day 0 = 2 .
Thus the initial number of shares = 2
The growth factor is given by the ratio of the consecutive terms :-
![b=\dfrac{6}{2}=3](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B6%7D%7B2%7D%3D3)
Now, put A = 2 and b = 3 in (i), we get
![y=2(3)^x](https://tex.z-dn.net/?f=y%3D2%283%29%5Ex)
∴ The exponential function to represent the spread of Ben's social media post is ![y=2(3)^x](https://tex.z-dn.net/?f=y%3D2%283%29%5Ex)