Question

Rewrite in a 7th 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:
The numbers make a straight-line pattern because the y-values go up by 6 every time x goes up by 1. The rule is y = 6x + 6. This is a function because every x gives exactly one y (one input → one output).

Table 2:
The y-values don’t change by the same amount, so the relationship is not linear (not a straight line). It is still a function because each x still matches with exactly one y.