Question

I need help understanding this. Medal!!

Answer 1

How much do you share on social media? Do you have accounts linked to your computer, phone, and tablet? The average teen spends around five hours per day online, and checks his or her social media account about 10 times each day.
When an image or post is shared publicly, some students are surprised at how quickly their information travels across the Internet. The scary part is that nothing online is really private. All it takes is one friend sharing your photo or updates with the public to create a very public viral trend.
For this project you will use what you have learned about exponential functions to study what happens if a social media post is shared publicly.
Social Sharing
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.
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.
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.
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?
Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions?
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.

Answer 2

@3mar

Answer 3

What do you need here?

Answer 4

@Luigi0210

Answer 5

I need help with writing the functions

Answer 6

Question?

Answer 7

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 8

@mathstudent55

Answer 9

1. Write an exponential function to represent the spread of Ben's social media post.
y=2(3)x
2. Write an exponential function to represent the spread of Carter's social media post.
y=10(2)x
3. https://www.desmos.com/calculator/2g7zpfrmtv

In the graph Amber's function is red, Ben's function is blue, Carter's function is light green.

4.
Amber day 3: 3(4)3=192 day 10: 3(4)10=3145728
Ben day 3: 2(3)3=54 day 10: 2(3)10=118098
Carter day 3: 10(2)3=80 day 10: 10(2)10=10240

5.
The new graph vertically shifts up Amber's original graph by 45 units.

6. Amber's social media posts travel the fastest. This is shown by Amber's equation form because the base of Amber's exponential function is 4 and that is greater than Ben's and Carter's who have bases of 2 and 3.

7. I would prefer a post with few friends initially but more shares. More shares implies that the base of the exponential function is greater, and this will cause posts to increase faster in the long run. We can see this in the graph; if we zoom out Amber's exponential function is greater than Ben and Carter's function We also see this in the table, Amber's shares are greatest.

Credits to my BFF - Natsu

Answer 10

for #1, is it y=2(3)^x

Answer 11

TThank you so much!

Answer 12

Np


Medal?

Answer 13

Thx

Answer 14

Wait but is it ^x or just x??

Answer 15

no only x

Answer 16

I mean ^x

Answer 17

did you just get this off of peeranswer lmfao

Answer 18

Yes.

Answer 19

That i s my account :)

Answer 20

is*

Answer 21

oh ok

Answer 22

thank u

Answer 23

:D

I would never steal.

Answer 24

Sorry, I was not here!