(FAN AND MEDAL) help please!!!

- anonymous

(FAN AND MEDAL) help please!!!

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- AaronAndyson

Question?

- anonymous

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.Day
Number of Shares
0 2
1 6
2 18

- anonymous

1)Write an exponential function to represent the spread of Ben's social media post.

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## More answers

- anonymous

i really need help on this question please help!!!

- anonymous

@AaronAndyson

- anonymous

@ganeshie8 @peachpi

- SolomonZelman

This is a geometric sequence with r=3 and \(a_0\)=2.
Or same way with an exponential function, you know the initial value of 2, and the base of the exponential function is 3.

- SolomonZelman

\(y=a(b)^x\)
a - initial value
b - the growth rate

- Michele_Laino

hint:
from your data, we have:
\[\Large \begin{gathered}
N = 2 \times {3^0} = 2 \to day:0 \hfill \\
N = 2 \times {3^1} = 6 \to day:1 \hfill \\
N = 2 \times {3^2} = 18 \to day:2 \hfill \\
\end{gathered} \]

- anonymous

whats the value of x in Y=a(b)

- anonymous

@SolomonZelman ???

- SolomonZelman

the x doesn't have a particular value in this case (it is a function, like any other, all you need to do is to fill in for a and b)

- anonymous

so Y=6 exponent x

- SolomonZelman

\(y=a(b)^x\)
a - initial value (we said this initial value was .... ?)
b - growth rate (this growht rate is... ? -what is the growht rate

- SolomonZelman

no, don't multiply the 2 and 3

- anonymous

ok sorry im confused

- SolomonZelman

when you plugged in for a and b (into the y=a(b)\(^x\) )
(without multiplying anything, rather, just when you plugged) what did you get?

- anonymous

y=2(3) exponent x

- SolomonZelman

yes,
y=2(3)\(^x\)

- SolomonZelman

And that is the answer....

- anonymous

lol thank you i thought i had to do more, can you help me with a few more questions

- SolomonZelman

you can't multiply 2 and 3 together, because 3 is raised to exponent of x, and 2 is not.
you get a wrong result, because
2(3)\(^x\) \(\ne\) 6\(^x\)
for the following reason
2(3 • 3) \(\square \) 6 • 6
2(3 • 3 • 3) \(\square \) 6 • 6 • 6
2(3 • 3 • 3 • 3) \(\square \) 6 • 6 • 6 • 6
etc....

- SolomonZelman

yes, I think I can.....

- SolomonZelman

see how these two expressions are NOT equivalent?

- anonymous

oooh ok i understand now..

- SolomonZelman

Good:)

- SolomonZelman

If you want you can ask in a different post, or use the same post. I don't really care....

- anonymous

Carter shared his post with 10 friends, who each share with only 2 people each day.
Write an exponential function to represent the spread of Carter's social media post.

- SolomonZelman

Ok, we have the same exact thing, and a same exact function y=a(b)\(^x\) to fill out, EXCEPT that the numbers are bit different.

- SolomonZelman

What number of friends who know the post did you start from?

- anonymous

ok let me try

- SolomonZelman

sure, go ahead

- anonymous

y=10(2) exponent x

- SolomonZelman

yes, very good

- SolomonZelman

btw, jst giving you a tip, that you can write an exponent using a caret, the ^ key.
(obtained by Shift+6)
y=10(2)^x

- SolomonZelman

^x indicates that x is the exponent. 9so that you don't have to write that x is the exponent every time verbally.

- anonymous

ok thanks,
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.

- SolomonZelman

oh, so now you have to graph the function from question 1, and the function 2.... right?

- anonymous

yes

- SolomonZelman

ok, |dw:1437324320071:dw|

- SolomonZelman

idk, if this grid will make it easier, and if anything we can use desmos.com

- SolomonZelman

ok, so your 1st function is
y=2(3)^x
and your second function is
y=10(2)^x

- SolomonZelman

I will recommend to use
x=0
x=1
x=2
for the first and for the second function (use www.desmos.com/calculator because otherwise, you will have a hard time drawing it).

- SolomonZelman

lets name your 1st function f(x), and second function g(x) (for our convience, for now)

- SolomonZelman

f(x)=2(3)\(^x\)
g(x)=10(2)\(^x\)
you will need to tell me
f(0), f(1), f(2)
AND
g(0), g(1), g(2)

- anonymous

im confused, i really didn't understand the graphing at all

- anonymous

@SolomonZelman

- SolomonZelman

you just need to label a couple of points (at least 3) on the first function, graph them, and connect them with a curve to get (an approximate) graph of the function.
Then, do the same thing for the second function

- SolomonZelman

I am just advising you to use the points with x-coordinates of 0,1, and 2)

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