Question

PLEASE HELP! i got number 1 tho! 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.

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.

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

thanks but i need help with making and putting in on a graph tho

Answer 3

I'm not good with the graphing part but I gave you the info you need. Anyone you think could help you with that?

Answer 4

oh okay well hopefully someone will come on and help thanks anyway!

Answer 5

No problem! Anytime :D