## 04.05 Project Assignment Work Independently

**Unformatted text preview: ** Project Assignment: Work Independently 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 1. f(x) = 3(4)x Number of Day 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. y=2(3)^x 2. Write an exponential function to represent the spread of Carter's social media post. y=10(2)^x 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. Here Amber is represented by red, Ben by blue, and Carter by green. 4. Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day Justify your answers. Amber Day 3: 3(4)^3= Day 3(4)^10= Ben Day 3: 2(3)^3=54 Day 2(3)^10= Carter Day 3: 10(2)^3=80 Day 10(2)^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 + How does this graph compare with the original graph of Amber's photo share? The new graph vertically shifts up Amber's original graph by 45 units. 6. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions? Amber's posts traveled the fastest and this is shown by Amber's equation 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. 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. I would choose to have a post that had fewer friends initially but more shares because with more shares it has a greater base of the exponential function and this will lead to the posts popularity lasting longer. We see this as true if we zoom out on the graph to see that Amber's exponential function is greater than Ben and Carter's; by doing this we also see Amber has the greatest number of shares.

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Но как только шифр будет взломан… - Коммандер, а не лучше ли будет… - Мне нужен ключ! - отрезал. Сьюзан должна была признать, что, услышав о «Цифровой крепости», она как ученый испытала определенный интерес, желание установить, как Танкадо удалось создать такую программу.

Само ее существование противоречило основным правилам криптографии.

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