Question

Rewrite in a 9th graders response

Table 1: This is a table of values representing a linear relationship with constant rate of change of 6 (y = 6x + 6). It is a function because each x-value maps to exactly one y-value.


Table 2:

This is a table of values representing a nonlinear relationship (the differences in y are not constant, so it is not linear).
It is a function because each x-value maps to exactly one y-value.

Answer 1

Table 1:
This table shows a linear relationship with a constant rate of change of 6. The rule is y = 6x + 6, so every time x goes up by 1, y goes up by 6. It’s a function because each x-value matches to exactly one y-value.

Table 2:
This table is nonlinear because the y-values don’t change by the same amount each time — the differences aren’t constant, so the points wouldn’t form a straight line. It is still a function because each x-value gives one y-value (no x is paired with more than one y).