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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.

Respuesta :

taskmasters
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
JeanaShupp

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

Explanation:

The general exponential function is written as :-

[tex]y=Ab^x--------------(i)[/tex]

,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 :-

[tex]b=\dfrac{6}{2}=3[/tex]

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

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

∴ The exponential function to represent the spread of Ben's social media post is [tex]y=2(3)^x[/tex]

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