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be
completed
in
attached
word
document.
Follow
instructions
in
attached
Assignment
Instructions
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.1
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, status update, or tweet 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
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
shared his post with 10 friends, who each share with only 2 people each day.
Write equations for each post (fill in the blanks)
| Amber | Ben | Carter |
|
Equation |
Using the information from the table above answer the following (use the ^ symbol for exponents):
- 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.
Paste your graph below:
4. Using the functions for each student, predict how many shares each student’s post will have received on Day 3 and Day 10. Justify your answers.
| Amber | Ben | Carter |
5. If
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
+ 45. How does this graph compare with the original graph of Amber’s photo share?
6. Based on your results, which students’ post travels the fastest? How is this shown in the equation form of the functions?
7. 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.
Assignment Instructions
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.1
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, status update, or tweet 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.
Day
Social Media Post
Shares
f(x) = 3(4)x
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 equations for each post (fill in the blanks)
Student
Amber
Initial Post
3
Rate of Growth
300% or 3.0
Equation
f(x) = 3(1.00 + 3.00)x
Ben
Carter
f(x) = 3(4)x
Using the information from the table above answer the following (use the ^ symbol for
exponents):
1. Write an exponential function to represent the spread of Ben’s social media post.
2. Write an exponential function to represent the spread of Carter’s social media post.
3. 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.
Paste your graph below:
4. Using the functions for each student, predict how many shares each student’s post will have
received on Day 3 and Day 10. Justify your answers.
Day = x
Amber
Ben
Carter
3
10
5. 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?
6. Based on your results, which students’ post travels the fastest? How is this shown in the
equation form of the functions?
7. 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.
Assignment Instructions
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.1
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, status update, or tweet 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.
Day
Social Media Post
Shares
f(x) = 3(4)x
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 equations for each post (fill in the blanks)
Student
Amber
Initial Post
3
Rate of Growth
300% or 3.0
Equation
f(x) = 3(1.00 + 3.00)x
Ben
Carter
f(x) = 3(4)x
Using the information from the table above answer the following (use the ^ symbol for
exponents):
1. Write an exponential function to represent the spread of Ben’s social media post.
2. Write an exponential function to represent the spread of Carter’s social media post.
3. 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.
Paste your graph below:
4. Using the functions for each student, predict how many shares each student’s post will have
received on Day 3 and Day 10. Justify your answers.
Day = x
Amber
Ben
Carter
3
10
5. 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?
6. Based on your results, which students’ post travels the fastest? How is this shown in the
equation form of the functions?
7. 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.
