anonymous
  • anonymous
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
Algebra
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
help please @zepdrix
zepdrix
  • zepdrix
Boy this post is quite a mess :O I'm not sure what's going on. It's all jumbled up.
anonymous
  • anonymous
should i take a screenshot better?

Looking for something else?

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

More answers

zepdrix
  • zepdrix
Nah I think we'll be ok :)
zepdrix
  • zepdrix
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.
zepdrix
  • zepdrix
Lemme show you how we would construct Ben's function, and then we'll see if you can come up with one for Carter.
zepdrix
  • zepdrix
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
zepdrix
  • zepdrix
How bout for Carter, what do you think? :d
anonymous
  • anonymous
c(x)=10(2)^x ?
zepdrix
  • zepdrix
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.
anonymous
  • anonymous
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.
zepdrix
  • zepdrix
Ok so graph, do you understand how to do that? Remember how to make a t-chart?
anonymous
  • anonymous
no not really :/
zepdrix
  • zepdrix
|dw:1439319322976:dw|
zepdrix
  • zepdrix
For Amber's exponential function, let's try to plot the points for x=0, 1 and 2.
zepdrix
  • zepdrix
So what do you get for A(x)=3(4)^x when you plug x=0 in?
anonymous
  • anonymous
0?
zepdrix
  • zepdrix
No. \(\large\rm 4^0\ne0\)
anonymous
  • anonymous
4?
zepdrix
  • zepdrix
Anything raised to the 0 power gives us 1.
anonymous
  • anonymous
ok
zepdrix
  • zepdrix
\[\large\rm A(0)=3(4)^0\]\[\large\rm A(0)=3(1)\]\[\large\rm A(0)=3\]
zepdrix
  • zepdrix
How bout for x=1 and x=2 what do you get? :O
anonymous
  • anonymous
a(1)=12 a(2)=16
zepdrix
  • zepdrix
a(2) = 3*16 ya? i think you forgot the 3
anonymous
  • anonymous
yes my bad i meant a(2)=48
zepdrix
  • zepdrix
|dw:1439319841779:dw|Ok good. Do you understand how I used that information to plot the three locations?
zepdrix
  • zepdrix
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
anonymous
  • anonymous
i know very big :O
zepdrix
  • zepdrix
|dw:1439320055865:dw|How bout for Ben. What values are we going to get?
anonymous
  • anonymous
b(0)=2 b(1)=6 b(2)=18
zepdrix
  • zepdrix
|dw:1439320292352:dw|okie good :O
zepdrix
  • zepdrix
|dw:1439320398549:dw|
zepdrix
  • zepdrix
See if you can figure out the values for C. I brb
anonymous
  • anonymous
ok
anonymous
  • anonymous
c(0)=10 c(1)=20 c(2)=40
zepdrix
  • zepdrix
sorry i had to go take care of some stuff :O you get this one finished?
anonymous
  • anonymous
its ok and no i still have 4-7 do to :(
anonymous
  • anonymous
zepdrix
  • zepdrix
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.
zepdrix
  • zepdrix
The `x` corresponds to the day. So for day 3, you're simply calculating: \(\large\rm A(3)=?\) \(\large\rm B(3)=?\) \(\large\rm C(3)=?\)
anonymous
  • anonymous
a=192 b=54 c=80
zepdrix
  • zepdrix
mmm k good. and do the same for day 10
anonymous
  • anonymous
a=1048576 b=59049 c=2048
zepdrix
  • zepdrix
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.
zepdrix
  • zepdrix
How does this graph compare with the original graph of Amber's photo share?
zepdrix
  • zepdrix
What do you think ?:d
anonymous
  • anonymous
it is basically the same thing you just have to add 45 to the equation
zepdrix
  • zepdrix
but what does adding 45 to the equation... do to the picture?
anonymous
  • anonymous
does it make all the functions change?
zepdrix
  • zepdrix
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
zepdrix
  • zepdrix
bah i gotta go for now :c

Looking for something else?

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