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 three points for each curve. All graphs should be placed
together on
the same coordinate plane, so be sure to label each curve. You
equation by hand on a piece of a
may graph your
technology.
paper and scan your work, or you may use graphing
Using the functions for each student, predict how many shares each student's post will be
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)x + 45.
6
How does this graph compare with the original graph of Amber's photo share?
Based on your results, which students* post travels the fastest? How is this shown in the
equation form of the funcilens?
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.