What is the equation to get the following ordered pairs0,11,22,44,85,16

Question

There is a box. You put the x values through the box the y values come out. What is the equation to how you get the y values?

Answer 1

These are not ordered pairs.  You have to include the parentheses!  Did you mean:

(0,1) (1,2) (2,4) (4,8) (5,16) ?

if so, then y = 2^(x-1)

Notice that each of the y values is a power of 2: 1, 2, 4, 8, 16.
These are 2⁰, 2¹, 2², 2³, and 2⁴.
So the form of our equation will be 2^?.

You can see that the exponent is 1 less than x for each ordered pair, so:
y = 2^(x-1)