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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.

User David Max
by
7.3k points

2 Answers

3 votes

Answer:
y=2(3)^x

Step-by-step explanation:

The general exponential function is written as :-


y=Ab^x--------------(i)

,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 :-


b=(6)/(2)=3

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


y=2(3)^x

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

User EspressoBeans
by
8.2k points
6 votes
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
User Narutokk
by
7.7k points

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