(FAN AND MEDAL) help please!!!
Question?
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
1)Write an exponential function to represent the spread of Ben's social media post.
i really need help on this question please help!!!
@AaronAndyson
@ganeshie8 @peachpi
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.
\(y=a(b)^x\) a - initial value b - the growth rate
hint: from your data, we have: \[\Large \begin{gathered} N = 2 \times {3^0} = 2 \to day:0 \hfill \\ N = 2 \times {3^1} = 6 \to day:1 \hfill \\ N = 2 \times {3^2} = 18 \to day:2 \hfill \\ \end{gathered} \]
whats the value of x in Y=a(b)
@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)
so Y=6 exponent x
\(y=a(b)^x\) a - initial value (we said this initial value was .... ?) b - growth rate (this growht rate is... ? -what is the growht rate
no, don't multiply the 2 and 3
ok sorry im confused
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?
y=2(3) exponent x
yes, y=2(3)\(^x\)
And that is the answer....
lol thank you i thought i had to do more, can you help me with a few more questions
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....
yes, I think I can.....
see how these two expressions are NOT equivalent?
oooh ok i understand now..
Good:)
If you want you can ask in a different post, or use the same post. I don't really care....
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.
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.
What number of friends who know the post did you start from?
ok let me try
sure, go ahead
y=10(2) exponent x
yes, very good
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
^x indicates that x is the exponent. 9so that you don't have to write that x is the exponent every time verbally.
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.
oh, so now you have to graph the function from question 1, and the function 2.... right?
yes
ok, |dw:1437324320071:dw|
idk, if this grid will make it easier, and if anything we can use desmos.com
ok, so your 1st function is y=2(3)^x and your second function is y=10(2)^x
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).
lets name your 1st function f(x), and second function g(x) (for our convience, for now)
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)
im confused, i really didn't understand the graphing at all
@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
I am just advising you to use the points with x-coordinates of 0,1, and 2)
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