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.

Respuesta :

caylus
Hello,

n=2*3^d
if d=0 then n=2*3^0=2*1=2
if d=1 then n=2*3^1=2*3=6
if d=2 then n=2*3^2=2*9=18

if d=x then n=2*3^x

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

is [tex]y=2(3)^x[/tex]

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 [tex]y=ab^x[/tex]

The number of shares triples each day

So the value of b is 3

[tex]b=3[/tex]

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

[tex]y=ab^x\\(0,2)\\2=a(3)^0\\2=a\\a=2[/tex]

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

is [tex]y=2(3)^x[/tex]

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