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.

Explanation:

The general exponential function is written as :-

,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 :-

Now, put A = 2 and b = 3 in (i), we get

∴ The exponential function to represent the spread of Ben's social media post is

when it's short and dry.

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