Question

I reward with points!

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

Answer 1

Answer:
`f(x)=2* 3^(x)`

Explanation:

Let
`f(x)` be the number of shares in
`x` days.

Let the function
`f(x)=ab^(x)`.

It is given that each friend shares with three friends the next day.

So,
`f(x)=3* f(x-1)`

substituting
`f(x)=ab^(x)`

`ab^(x)=3* ab^(x-1)`

So,
`b=3`

Given that at day
`0`,there are
`2` shares.

So,
`f(0)=2`

`a3^(0)=2`

`a=2`

So,
`f(x)=2* 3^(x)`