Question

1. what is the constant of variation for the table of values?

x	y
-4	-7
0	1
2	5
4	9

○ $k = -1.75$
○ $k = 1$
○ $k = 2.25$
○ this table does not represent direct variation.

Explanation:

Step1: Recall direct variation rule

Direct variation means $y = kx$ (so when $x=0$, $y$ must be 0).

Step2: Check $x=0$ value

From the table, when $x=0$, $y=1$ (not 0).

Step3: Confirm no direct variation

Since $y≠0$ at $x=0$, it’s not direct variation.

Answer:

This table does not represent direct variation.