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write an exponential function to represent the spread of ben's social media post

Day. Number of shares

0 2

1 6

2 18

Ben shared his post with two friends. Each of those friends shares with 3 more everyday, so the number of shares triples each day.

Verified Answer :

caylus

Hello,

n=23^d
if d=0 then n=23^0=21=2
if d=1 then n=23^1=23=6
if d=2 then n=23^2=29=18

if d=x then n=23^x

an exponential function to represent the spread of ben's social media post

is \(y=2(3)^x\)

Given :

Ben shared his post with two friends. Each of those friends shares with 3 more everyday, so the number of shares triples each day.

Exponential equation of the form \(y=ab^x\)

The number of shares triples each day

So the value of b is 3

\(b=3\)

Now we find out the value of 'a'. use the given table . Lets pick (0,2) from the table

\(y=ab^x\\(0,2)\\2=a(3)^0\\2=a\\a=2\)

an exponential function to represent the spread of ben's social media post

is \(y=2(3)^x\)

Learn more: brainly.com/question/12357353

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