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.



Write an exponential function to represent the spread of Ben's social media post.
f(x) = 2(3)^x
Write an exponential function to represent the spread of Carter's social media post.
f(x) = 10(2)^x
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 may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.

Answer 1

B(x)=2(3)x

Notice with Amber's function

A(x)=3(4)x

The 3 represents the number of people she initially shared with.

And the 4 will represent the growth rate

So the amount of people who see her photo each day is increasing by a rate of 4.

Ben initially shared his photo with 2 people.

And the amount of people who have seen his photo increases by 3 times every day.

So for Ben we would have something like: B(x)=2(3)x

Also they get no rizz wit their stories they just be putting leauge of legends gameplay dont be like them please