chrisGA
  • chrisGA
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 1 6 2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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chrisGA
  • chrisGA
1) 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. 2)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
chrisGA
  • chrisGA
can someone help me out or answer this for me i will give medal and fan please and thank you
ganeshie8
  • ganeshie8
First read the problem and figure out what exactly it is asking to find out

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More answers

chrisGA
  • chrisGA
it asking for how many shares each student's post will have received on Day 3 and then on Day 10
ganeshie8
  • ganeshie8
Yes, we have 3 students : Amber, Ben, Carter Amber's shares function is given by \[f(x) = 3*(4)^x\] simply plugin \(x=3\) to find the number of shares on day \(3\)
chrisGA
  • chrisGA
so that amber share?
chrisGA
  • chrisGA
so all you have to do is plugin
ganeshie8
  • ganeshie8
Right, you do see that function notation is so simple. All you have to do is plug because, when you plugin the day number, "x", the function f(x) spits out the shares on that day.
chrisGA
  • chrisGA
yes i see..How about number 2?
chrisGA
  • chrisGA
@ganeshie8
ganeshie8
  • ganeshie8
have you finished with part1 ?
chrisGA
  • chrisGA
yes
chrisGA
  • chrisGA
Can you help with 2 now
ganeshie8
  • ganeshie8
could you show me your work for part1
chrisGA
  • chrisGA
Amber=f(x)=3∗(4)x Ben=f(x)=2∗(4)x Carter=f(x)=10∗(4)x
ganeshie8
  • ganeshie8
Not quite, Ben's shares are tripling each day, so the function should be \[f(x) = 2*(3)^x\] yes ?
chrisGA
  • chrisGA
yes
ganeshie8
  • ganeshie8
your function for Carter also doesnt look correct
ganeshie8
  • ganeshie8
`Carter shared his post with 10 friends, who each share with only 2 people each day.` each are sharing with 2 people each day, that means the number of shares are doubling each day, so the function for carter's shares will be \[f(x) = 10*(2)^x\]
ganeshie8
  • ganeshie8
plugin x=3, 10 in each of these functions to find the number of shares on 3rd and 10th day
chrisGA
  • chrisGA
so it will be f(x)=10∗(2)x??
ganeshie8
  • ganeshie8
for Carter, it is f(x) = 10*(2)^x
ganeshie8
  • ganeshie8
Amber=f(x)=3∗(4)^x Ben=f(x)=2∗(3)x Carter=f(x)=10∗(2)^x plugin x=3 and find the number of shares on 3rd day
chrisGA
  • chrisGA
ok
ganeshie8
  • ganeshie8
work it
ganeshie8
  • ganeshie8
Amber=f(x)=3∗(4)^x plugin x = 3 : f(3) = 3*(4)^3 = ?
chrisGA
  • chrisGA
so just solve that?
chrisGA
  • chrisGA
192?
ganeshie8
  • ganeshie8
Yes, so on day 3, Amber's photo will be shared to 192 people.
ganeshie8
  • ganeshie8
similarly find out the number of shares on day 3 for Ben and Carter also
chrisGA
  • chrisGA
ok
chrisGA
  • chrisGA
ben=52 carter=20
ganeshie8
  • ganeshie8
doesn't look correct, try again
chrisGA
  • chrisGA
for both?
ganeshie8
  • ganeshie8
Amber=f(x)=3∗(4)^x Ben=f(x)=2∗(3)x Carter=f(x)=10∗(2)^x On 3rd day : Amber=f(3)=3∗(4)^3 = 192 Ben=f(x)=2∗(3)^3 = ? Carter=f(x)=10∗(2)^3 = ?
chrisGA
  • chrisGA
ben=54 carter=80
ganeshie8
  • ganeshie8
Looks good! similarly work for day 10 also
ganeshie8
  • ganeshie8
Amber=f(x)=3∗(4)^x Ben=f(x)=2∗(3)x Carter=f(x)=10∗(2)^x On 3rd day : Amber=f(3)=3∗(4)^3 = 192 Ben=f(x)=2∗(3)^3 = 54 Carter=f(x)=10∗(2)^3 = 80 On 10th day : Amber=f(10)=3∗(4)^10 = ? Ben=f(10)=2∗(3)^10 = ? Carter=f(10)=10∗(2)^10 = ?
chrisGA
  • chrisGA
am i doing the same thing or evaluate?
ganeshie8
  • ganeshie8
Yes
chrisGA
  • chrisGA
samething? or evaluate??
ganeshie8
  • ganeshie8
ofcourse you need to evaluate to know the shares on 10th day
chrisGA
  • chrisGA
carter=10240 ben=118098 Amber=3145728
ganeshie8
  • ganeshie8
good, so who has more shares on day 10 ?
ganeshie8
  • ganeshie8
Amber=f(x)=3∗(4)^x Ben=f(x)=2∗(3)x Carter=f(x)=10∗(2)^x On 3rd day : Amber=f(3)=3∗(4)^3 = 192 Ben=f(x)=2∗(3)^3 = 54 Carter=f(x)=10∗(2)^3 = 80 On 10th day : Amber=f(10)=3∗(4)^10 = 3145728 Ben=f(10)=2∗(3)^10 = 118098 Carter=f(10)=10∗(2)^10 = 10240
chrisGA
  • chrisGA
Amber
ganeshie8
  • ganeshie8
Yes! why do you think Amber has more shares on day 10 ? Notice that Amber has started with just 3 shares and Carter started with 10 shares. Still Carter's shares are very low compared to Amber on day 10. why ?
chrisGA
  • chrisGA
becuase as the days went on People started to share amber post more than everyone else
ganeshie8
  • ganeshie8
Kindof, but a more correct answer would be : Amber's shares are incresing by 4 times each day where as Carter's shares are only increasing by 2 times each day. so Amber's shares are expected to be more on day 10 compared to Carter's
ganeshie8
  • ganeshie8
we're done with part1
ganeshie8
  • ganeshie8
for part2, use desmos to graph the 3 functions https://www.desmos.com/calculator
chrisGA
  • chrisGA
i dont know how to use it can you show me the 1st one?
chrisGA
  • chrisGA
@ganeshie8
ganeshie8
  • ganeshie8
do you see a textbox on top right corner ?
ganeshie8
  • ganeshie8
enter the function there `f(x)=3∗(4)^x`
ganeshie8
  • ganeshie8
https://www.desmos.com/calculator/fxnt3ldndm
ganeshie8
  • ganeshie8
I have plotted the graph of Amber's shares for you above
chrisGA
  • chrisGA
https://www.desmos.com/calculator/3t1miijac8
ganeshie8
  • ganeshie8
Looks perfect! maybe zoomout the graph a bit if you want... take a screenshot and attach it for part2
chrisGA
  • chrisGA
Thank you alot I really appreciate you taking the time to help me understand
anonymous
  • anonymous
f 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?

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