Linear or Nonlinear? Find the next 2 values in the table. Can you find the rule? If not, why?

9514 1404 393

  linear

  (x, y) = (36, 54), (68, 102)

Step-by-step explanation:

We observe that y-values are proportional to x-values with a constant of proportionality of 1.5. This is a linear function.

"The next 2 values in the table" presumes we can find the rule for choosing x. For the answer above, we have observed that first differences in x-values increase by powers of 2:

  8-6 = 2

  12 -8 = 4

  20 -12 = 8

So we have chosen the next two x-values to be 16 and 32 more than the one before:

  next x = 20 +16 = 36

  x after that = 36 +32 = 68

That is, the rule for x is ...

  xn = 4 + 2^n

and the rule for y is ...

  y = 1.5x . . . a linear function

idk the answer but just put a

step-by-step explanation: