Question

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.

Answer 1

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

Answer 2

can someone help me out or answer this for me i will give medal and fan please and thank you

Answer 3

First read the problem and figure out what exactly it is asking to find out

Answer 4

it asking for how many shares each student's post will have received on Day 3 and then on Day 10

Answer 5

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 \(3\)

Answer 6

so that amber share?

Answer 7

so all you have to do is plugin

Answer 8

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.

Answer 9

yes i see..How about number 2?

Answer 10

@ganeshie8

Answer 11

have you finished with part1 ?

Answer 12

yes

Answer 13

Can you help with 2 now

Answer 14

could you show me your work for part1

Answer 15

Amber=f(x)=3∗(4)x
Ben=f(x)=2∗(4)x
Carter=f(x)=10∗(4)x

Answer 16

Not quite, Ben's shares are tripling each day, so the function should be
\[f(x) = 2*(3)^x\]

yes ?

Answer 17

yes

Answer 18

your function for Carter also doesnt look correct

Answer 19

`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
\[f(x) = 10*(2)^x\]

Answer 20

plugin x=3, 10 in each of these functions to find the number of shares on 3rd and 10th day

Answer 21

so it will be f(x)=10∗(2)x??

Answer 22

for Carter, it is f(x) = 10*(2)^x

Answer 23

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

Answer 24

ok

Answer 25

work it

Answer 26

Amber=f(x)=3∗(4)^x

plugin x = 3 :
f(3) = 3*(4)^3 = ?

Answer 27

so just solve that?

Answer 28

192?

Answer 29

Yes, so on day 3, Amber's photo will be shared to 192 people.

Answer 30

similarly find out the number of shares on day 3 for Ben and Carter also

Answer 31

ok

Answer 32

ben=52
carter=20

Answer 33

doesn't look correct, try again

Answer 34

for both?

Answer 35

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 = ?

Answer 36

ben=54
carter=80

Answer 37

Looks good! similarly work for day 10 also

Answer 38

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 = ?

Answer 39

am i doing the same thing or evaluate?

Answer 40

Yes

Answer 41

samething? or evaluate??

Answer 42

ofcourse you need to evaluate to know the shares on 10th day

Answer 43

carter=10240
ben=118098
Amber=3145728

Answer 44

good, so who has more shares on day 10 ?

Answer 45

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

Answer 46

Amber

Answer 47

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 ?

Answer 48

becuase as the days went on People started to share amber post more than everyone else

Answer 49

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

Answer 50

we're done with part1

Answer 51

for part2, use desmos to graph the 3 functions

https://www.desmos.com/calculator

Answer 52

i dont know how to use it can you show me the 1st one?

Answer 53

@ganeshie8

Answer 54

do you see a textbox on top right corner ?

Answer 55

enter the function there

`f(x)=3∗(4)^x`

Answer 56

https://www.desmos.com/calculator/fxnt3ldndm

Answer 57

I have plotted the graph of Amber's shares for you above

Answer 58

https://www.desmos.com/calculator/3t1miijac8

Answer 59

Looks perfect!
maybe zoomout the graph a bit if you want... take a screenshot and attach it for part2

Answer 60

Thank you alot I really appreciate you taking the time to help me understand

Answer 61

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?