Student
amber
ben
carter
description amber shared her photo with 3 people. they
continued to share it, so the number of shares
increases every day as shown by the function
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
carter shared his post with 10
friends, who each share with
only 2 people each day.
f(x) = 3(4)
day
number of shares
social
media post
shares
m
carter shared his post with 10
friends, who each share with
only 2 people each day.
shares
1
6
18
1. write an exponential function to represent the spread of ben's social media post.
2. write an exponential function to represent the spread of carter's social media post
3. graph each function using at least 3 points for each line. all graphs should be placed together on the same coordinate plane. so be sure to label each
line. you may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology
4. using the functions for each student, predict how many shares each student's post will have received on day 3 and then on day 10. justify your
answers.
5. if amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo
shares is f(x) = 3(4) + 45 how does this graph compare with the original graph of amber's photo share?
6. based on your results, which students' post travels the fastest? how is this shown in the equation form of the functions? 7. if you had to choose, would you prefer a post with fewer friends initially but more shares, like amber or more friends initially but fewer shares? justify your answer with your calculations from previous questions