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Sagot :
The function that gives the shares received by a post whereby each friend
shares the post a constant multiple of times each day is exponential.
Responses;
- Ben's social media post: 2 × 3ⁿ
- Carter's social media post: 10 × 2ⁿ
Methods by which the above expressions are obtained:
Ben's social media posts;
Given:
The given table of values for Ben's social media post is presented as follows;
[tex]\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right][/tex]
Solution:
The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of a = 2
The function for the number of shares of Ben's post is, tₙ = a·rⁿ
Which gives;
- Ben's social media post shares on day tₙ = 2·3ⁿ
Carter's social media posts;
Given;
Number of friends Carter shared his post with = 10 friends
Number of people each of the 10 friends shared with each day = 2 people
Solution;
The exponential function for number of shares received by Carter is therefore, tₙ = 10×2ⁿ
- Carter's social media post shares on day n: 10 × 2ⁿ
Learn more about exponential functions here:
https://brainly.com/question/1530446
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