Ben shared his post with 2 friends. Each of those friends shares with 3 more every day, so the number of shares triples every day. Day

Number of Shares

0 2

1 6

2 18

Write an exponential function to represent the spread of Ben's social media post.

From the data given above, we can make the following:

N (0) = 2 x 3^0 = 2

N (1) = 2 x 3^1 = 6

N (2) = 2 x 3^2 = 18

An exponential function is represented by:

y = ab^x

where a is the initial value and b is the growth rate.

The exponential function for this case would be:

y = 2 (3) ^x

y = 6^x