A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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 f(x) = 3(4)x
Day Number of Shares
0 2
anonymous
 one year ago
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 f(x) = 3(4)x Day Number of Shares 0 2

This Question is Open

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0help please @zepdrix

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Boy this post is quite a mess :O I'm not sure what's going on. It's all jumbled up.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0should i take a screenshot better?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Nah I think we'll be ok :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Notice with Amber's function:\[\large\rm A(x)=\color{orangered}{3}(\color{royalblue}{4})^x\]The 3 represents the number of people she initially shared with. And the 4 will represent the growth rate, ok? So the amount of people who see her photo each day is increasing by a rate of 4.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Lemme show you how we would construct Ben's function, and then we'll see if you can come up with one for Carter.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Ben initially shared his photo with \(\large\rm \color{orangered}{2}\) people. And the amount of people who have seen his photo increases by \(\large\rm \color{royalblue}{3}\) times every day. So for Ben we would have something like: \(\large\rm B(x)=\color{orangered}{2}(\color{royalblue}{3})^x\) k? :o

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0How bout for Carter, what do you think? :d

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Mmmmm ok good! :) Those are the 3 functions we wanted to build. Do we have to do anything with them? I don't see any questions listed.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Write 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. Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers. 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? Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions? 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.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Ok so graph, do you understand how to do that? Remember how to make a tchart?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0For Amber's exponential function, let's try to plot the points for x=0, 1 and 2.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0So what do you get for A(x)=3(4)^x when you plug x=0 in?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0No. \(\large\rm 4^0\ne0\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Anything raised to the 0 power gives us 1.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0\[\large\rm A(0)=3(4)^0\]\[\large\rm A(0)=3(1)\]\[\large\rm A(0)=3\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0How bout for x=1 and x=2 what do you get? :O

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0a(2) = 3*16 ya? i think you forgot the 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes my bad i meant a(2)=48

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439319841779:dwOk good. Do you understand how I used that information to plot the three locations?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0You can do your axes a little differently if you want. I dunno how you're going to be able to fit the points for all three functions on one graph :P it's going to look so ugly

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439320055865:dwHow bout for Ben. What values are we going to get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b(0)=2 b(1)=6 b(2)=18

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439320292352:dwokie good :O

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0See if you can figure out the values for C. I brb

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0c(0)=10 c(1)=20 c(2)=40

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0sorry i had to go take care of some stuff :O you get this one finished?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its ok and no i still have 47 do to :(

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Using the functions for each student, predict how many shares each student's post will have received on `Day 3` and then on `Day 10`. Justify your answers.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0The `x` corresponds to the day. So for day 3, you're simply calculating: \(\large\rm A(3)=?\) \(\large\rm B(3)=?\) \(\large\rm C(3)=?\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0mmm k good. and do the same for day 10

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a=1048576 b=59049 c=2048

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Ya that's prolly right :d Ok next part saysssss 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.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0How does this graph compare with the original graph of Amber's photo share?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it is basically the same thing you just have to add 45 to the equation

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0but what does adding 45 to the equation... do to the picture?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0does it make all the functions change?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0what? 0_o no, only amy's. or ashley... amber. whatever. Aight, you not getting it :d this is the word they're looking for: `vertical shift`. Adding 45 to the function will shift the line up by 45

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0bah i gotta go for now :c
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.