Answer:
1. 6(3)^x-1
2. 10(2)^x
3. Try graphing the equations on a graph or using a graphing calculator. :)
4. Day 3: 192 for Amber, 54 for Ben, and 80 for Carter. Day 10: 3,145,728 for Amber, 354,293 for Ben, 10,240 for Carter.
5. Amber's y intercept would be at 45 now.
6. Amber's post traveled the fastest. This is shown in the equation form of the functions because she gets the most shares every day. Although she didn't start with the highest amount of people, her ratio made her shares go up 4 times more every day.
7. Having a post with fewer friends initially but more shares would be the best because in the long run, your post has more shares than the posts people have made that start with more friends and have less shares. This is shown through Amber's post and Carter's post.
Step-by-step explanation:
1. 6 is the people he starts with, 3 is common ratio, ^x-1 makes sense because that gets the correct answers. x is the number of days.
2. 10 is the people he starts with, 2 is the common ratio, and x is the number of days.
4. I plugged the days (3 and 10) into all of the equations and that's how I got my answers.
5. the 45 would be the y intercept because that is the starting value before any days have gone by.
6. I know Amber's post traveled the fastest because her common ratio is the highest.
7. Having more shares in a smaller amount of time is better than starting with more shares.
Hope this helps!!
