Question

Guthrie made the input-output table shown below.

Answer 1

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

__

If you check this against the table entries, you find it fits.

  3(1) +1 = 4

  3(2) +1 = 7

and so on.