SOLUTION: Please help me finding the following function rule x:1,2,3,4,5,6... y:7,8,10,14,22,38... I do see how y changes but I am having trouble finding the relationship of x and y.

Algebra ->  Functions -> SOLUTION: Please help me finding the following function rule x:1,2,3,4,5,6... y:7,8,10,14,22,38... I do see how y changes but I am having trouble finding the relationship of x and y.       Log On


   



Question 494847: Please help me finding the following function rule
x:1,2,3,4,5,6...
y:7,8,10,14,22,38...
I do see how y changes but I am having trouble finding the relationship of x and y.

I do not know what y= to for any x. Oliver

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the relationship is y = 2^(x-1) + 6

when x = 1, y = 2^0 + 6 = 1 + 6 = 7
when x = 2, y = 2^1 + 6 = 2 + 6 = 8
when x = 3, y = 2^2 + 6 = 4 + 6 = 10
when x = 4, y = 2^3 + 6 = 8 + 6 = 14
when x = 5, y = 2^4 + 6 = 16 + 6 = 22
when x = 6, y = 2^5 + 6 = 32 + 6 = 38
etc.....