Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table.

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.
Social Media Post Shares f(x) = 3(4)x
Day Number of Shares
0 2
1 6
2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.

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.

Question

Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table.

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.
 Social Media Post Shares f(x) = 3(4)x 
Day Number of Shares
0 2
1 6
2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.

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.