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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.
<h3>Responses;</h3>- Ben's social media post: <u>2 × 3ⁿ</u>
- Carter's social media post: <u>10 × 2ⁿ</u>
The given table of values for Ben's social media post is presented as follows;
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 <em>a</em> = 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 <u><em>tₙ</em></u><u> = 2·3ⁿ</u>
Number of friends Carter shared his post with = 10 friends
Number of people each of the 10 friends shared with each day = 2 people
<h3>Solution;</h3>The exponential function for number of shares received by Carter is therefore, <u>tₙ = </u><u>10×2ⁿ</u>
- Carter's social media post shares on day <em>n</em>: <u>10 × 2ⁿ</u>
Learn more about exponential functions here: