Question

x | y
4 | 1
12 | 3
20 | 25
not direct variation
direct variation
equation:

Explanation:

Step1: Recall direct variation rule

Direct variation follows $y = kx$, so $k = \frac{y}{x}$ must be constant for all pairs.

Step2: Calculate k for first pair

$\frac{y}{x} = \frac{1}{4} = 0.25$

Step3: Calculate k for second pair

$\frac{y}{x} = \frac{3}{12} = 0.25$

Step4: Calculate k for third pair

$\frac{y}{x} = \frac{25}{20} = 1.25$

Step5: Compare k values

The k values are not equal, so it is not direct variation.

Answer:

Not direct variation