Must

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

3more 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

Cartershared his post with 10 friends, who each share with only 2 people each day.

Write equations for each post (fill in the blanks)

StudentInitial Post

3

Rate of Growth

300% or 3.0

f(x) = 3(1.00 + 3.00)x

f(x) = 3(4)x

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.

Day = x

310

Amber | Ben | Carter |

5. If

Amberdecides 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.

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.