Write equations for each post (fill in the blanks) Student Amber Ben Carter
Initial Post 3
Rate of Growth 300% or 3.0
Equation f(x) = 3(1.00 + 3.00)x
f(x) = 3(4)x

Using the information from the table above answer the following (use the ^ symbol for exponents):
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.

Paste your graph below:

4. Using the functions for each student, predict how many shares each student’s post will have received on Day 3 and Day 10. Justify your answers.
Day = x Amber Ben Carter

3

10

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. 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.