what are the functions?
i dont know :/
is there any other information provided in the problem?
please post everything here
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.
maybe take a screenshot?
ok give a sec
is there something you need from me?
please tag me in a separate question
alright, that makes it much more clear now, let's get started
we need to write functions for all three people (Amber, Ben, and Carter) the problem already gives us Amber's function f(x) = 3(4)^x, let's remember that for later now, the general form of an exponential function is f(x) = (starting number)(ratio)^x let's find Ben's function. how many shares did he have on day 0?
ben 2(3)^x carter 10(2)^x
so whats nexts? or thats the answer?
to graph them, they want you to find 3 points. They give you 3 points for Ben You need points for the other 2
You answers 1 and 2 now you are doing part 3. graphing
I would use x=0 , 1 and 2 remember any number to the 0 power is 1 for amber (at x=0) \[ 3\cdot 4^0= 3 \cdot 1 = 3\] which means (0,3) is the first point for amber. now do x=1 and x=2
i need to solve?
solve is not the word. Evaluate which means, if you have a formula and you "put in a number" for x, you get out a new number (the "y" value) For amber, the formula is f(x)= 3*4^x I showed how to find f(0) (which means the y value when x is 0) you replace x with 0, like this f(0)= 3* 4^0 order of operations: do the exponent first.... 4^0 = 1 (special rule about 0, remember?) then 3*1 which is 3 we get f(0)= 3 which means y is 3 and the (x,y) pair is (0,3) now do that with x=1
Can you find the y value when x=1 for Amber?
Let's see: f(x)= 3*4^x with x=1 we write f(1) = 3* 4^1 is that 4?
remember order of operations \[ 3 \cdot 4^1 \] first do exponents. what is \(4^1\) ?
the "little 1" as an exponent as in 4^1 gives 4 (try it on a calculator)
yes, and f(1)= 3*4 = 12
so the points for amber are (0,3), (1,12) now do x=2 can you do that ?
no, but let me try
write each step
f(x)= 3*2^x with x=2 we write f(1) = 3* 2^1 2^1= 2?
First, what equation do we use for amber?? (always good to start out with the correct one)
so, i did wrong?
you started with the wrong formula
please be careful. write down the formula for Amber. then on the next line. *erase the x* and put 2 in its place. what does the line look like after you do that?
look at the question. they give you the formula for Amber. Write it down here.