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Mathematics 16 Online
OpenStudy (anonymous):

(FAN AND MEDAL) help please!!!

OpenStudy (aaronandyson):

Question?

OpenStudy (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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@AaronAndyson

OpenStudy (anonymous):

@ganeshie8 @peachpi

OpenStudy (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.

OpenStudy (solomonzelman):

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

OpenStudy (michele_laino):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@SolomonZelman ???

OpenStudy (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)

OpenStudy (anonymous):

so Y=6 exponent x

OpenStudy (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

OpenStudy (solomonzelman):

no, don't multiply the 2 and 3

OpenStudy (anonymous):

ok sorry im confused

OpenStudy (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?

OpenStudy (anonymous):

y=2(3) exponent x

OpenStudy (solomonzelman):

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

OpenStudy (solomonzelman):

And that is the answer....

OpenStudy (anonymous):

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

OpenStudy (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....

OpenStudy (solomonzelman):

yes, I think I can.....

OpenStudy (solomonzelman):

see how these two expressions are NOT equivalent?

OpenStudy (anonymous):

oooh ok i understand now..

OpenStudy (solomonzelman):

Good:)

OpenStudy (solomonzelman):

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

OpenStudy (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.

OpenStudy (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.

OpenStudy (solomonzelman):

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

OpenStudy (anonymous):

ok let me try

OpenStudy (solomonzelman):

sure, go ahead

OpenStudy (anonymous):

y=10(2) exponent x

OpenStudy (solomonzelman):

yes, very good

OpenStudy (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

OpenStudy (solomonzelman):

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

OpenStudy (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.

OpenStudy (solomonzelman):

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

OpenStudy (anonymous):

yes

OpenStudy (solomonzelman):

ok, |dw:1437324320071:dw|

OpenStudy (solomonzelman):

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

OpenStudy (solomonzelman):

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

OpenStudy (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).

OpenStudy (solomonzelman):

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

OpenStudy (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)

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (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

OpenStudy (solomonzelman):

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

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