LIBERAL ARTS MATH 1 : EXPONENTIAL FUNCTIONS : 07.02 ANALYZING EXPONENTIAL FUNCTIONS 07.02 Analyzing Exponential Functions Project How much do you share on social media? Do you have accounts linked to your computer, phone, and tablet? The average teen spends around 9 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. Social Sharing You and your partner will each study 2 student scenarios to see how social media spreads. Four student scenarios are described in the table below. Work together with your partner to decide on who will study which two students. Student Harrison Anita Juan Krista Description Harrison shared his video with Anita shared her photo with 42 Juan shared his post with 3 Krista shared her photo 5 friends. His friends continued followers. Each of them shared friends, who each shared it with with 8 friends, who each to share it, doubling the it with 2 friends, doubling the 3 more friends. They continued shared it with 3 friends. number of viewers each day. number of viewers each day. sharing at the same rate. This pattern continued. Social Media Day Viewers f(x) = 5(2)x Juan shared his post with 3 f(x) = 8(3)x Shares 0 42 friends, who each shared it with 1 84 3 more friends. They continued 2 168 sharing at the same rate. Place your answers in the yellow highlighted areas below.
LIBERAL ARTS MATH 1 : EXPONENTIAL FUNCTIONS : 07.02 ANALYZING EXPONENTIAL FUNCTIONS 07.02 Analyzing Exponential Functions Project How much do you share on social media? Do you have accounts linked to your computer, phone, and tablet? The average teen spends around 9 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. Social Sharing You and your partner will each study 2 student scenarios to see how social media spreads. Four student scenarios are described in the table below. Work together with your partner to decide on who will study which two students. Student Harrison Anita Juan Krista Description Harrison shared his video with 5 friends. His friends continued to share it, doubling the number of viewers each day. Anita shared her photo with 42 followers. Each of them shared it with 2 friends, doubling the number of viewers each day. Juan shared his post with 3 friends, who each shared it with 3 more friends. They continued sharing at the same rate. Krista shared her photo with 8 friends, who each shared it with 3 friends. This pattern continued. Social Media Shares f(x) = 5(2)x Day Viewers 0 42 1 84 2 168 Juan shared his post with 3 friends, who each shared it with 3 more friends. They continued sharing at the same rate. f(x) = 8(3)x Place your answers in the yellow highlighted areas below.