A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 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

  • This Question is Open
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    help please @zepdrix

  2. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Boy this post is quite a mess :O I'm not sure what's going on. It's all jumbled up.

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    should i take a screenshot better?

  4. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Nah I think we'll be ok :)

  5. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Notice 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.

  6. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lemme show you how we would construct Ben's function, and then we'll see if you can come up with one for Carter.

  7. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ben 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

  8. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How bout for Carter, what do you think? :d

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    c(x)=10(2)^x ?

  10. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Mmmmm 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.

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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. 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.

  12. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok so graph, do you understand how to do that? Remember how to make a t-chart?

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no not really :/

  14. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1439319322976:dw|

  15. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For Amber's exponential function, let's try to plot the points for x=0, 1 and 2.

  16. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So what do you get for A(x)=3(4)^x when you plug x=0 in?

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    0?

  18. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No. \(\large\rm 4^0\ne0\)

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4?

  20. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Anything raised to the 0 power gives us 1.

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  22. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\large\rm A(0)=3(4)^0\]\[\large\rm A(0)=3(1)\]\[\large\rm A(0)=3\]

  23. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How bout for x=1 and x=2 what do you get? :O

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a(1)=12 a(2)=16

  25. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a(2) = 3*16 ya? i think you forgot the 3

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes my bad i meant a(2)=48

  27. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1439319841779:dw|Ok good. Do you understand how I used that information to plot the three locations?

  28. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You 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

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i know very big :O

  30. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1439320055865:dw|How bout for Ben. What values are we going to get?

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    b(0)=2 b(1)=6 b(2)=18

  32. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1439320292352:dw|okie good :O

  33. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1439320398549:dw|

  34. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    See if you can figure out the values for C. I brb

  35. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  36. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    c(0)=10 c(1)=20 c(2)=40

  37. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry i had to go take care of some stuff :O you get this one finished?

  38. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its ok and no i still have 4-7 do to :(

  39. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix

  40. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  41. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The `x` corresponds to the day. So for day 3, you're simply calculating: \(\large\rm A(3)=?\) \(\large\rm B(3)=?\) \(\large\rm C(3)=?\)

  42. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a=192 b=54 c=80

  43. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    mmm k good. and do the same for day 10

  44. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a=1048576 b=59049 c=2048

  45. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ya 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.

  46. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How does this graph compare with the original graph of Amber's photo share?

  47. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What do you think ?:d

  48. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is basically the same thing you just have to add 45 to the equation

  49. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but what does adding 45 to the equation... do to the picture?

  50. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does it make all the functions change?

  51. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what? 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

  52. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    bah i gotta go for now :c

  53. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.