SOLUTION: when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7. What is the function is it that I am trying to find? and what is the answer in the form of x>>something.

Question 101133: when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7.
What is the function is it that I am trying to find? and what is the answer in the form of x>>something.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7.
What is the function is it that I am trying to find? and what is the answer in the form of x>>something.
-------------------------------
That can be rearranged as follows:
x:... 2,3,.4,.5
f(x): 4,7,10,13
---------------
Since there is a constant difference in the f(x) line you know
the eqution you are looking for is linear, i.e. y = mx+b
------------
So substitute two of the x,f(x) points into that linear form to get:
4 = 2m + b
13= 5m + b
--------------
Subtract the 1st from the 2nd to get:
9 = 3m
m = 3
----------
Substitute that into 4 = 2m + b to solve for "b":
4 = 2*3 + b
b = -2
-------------
So the equation you want is y = 3x -2
==================
Cheers,
Stan H.

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