Question

please help!!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. Write an exponential function to represent the spread of Ben's social media post. Write an exponential function to represent the spread of Carter's social media post.

Answer 1

Since the question is asking for Ben's specific function, we only need to pay attention to the information given for him: Ben shared his post with 2 friends, who each share with 3 more friends every day. So, the function will be: f(x) = 2(3^x) (with the x as an exponent). The first number is 2, because that's the initial number of friends Ben shares his posts with. Since this number triples every day, 2 will be multiplied times 3. Since the sharing with 3 friends each repeats every day, the exponent (x) will be the number of days that this occurs.

Answer 2

@mikewwe13 yep thanks i got that one but could you answer the second question and explain about what carters would be bc im confused on that part. thanks