💥 Q 74: Prep 3 Algebra Question Bank T1

a) Which of the following tables represents direct variation, inverse variation, or neither?

\( x \)	\( y \)
3	20
5	12
4	15
6	10

\( x \)	\( y \)
2	9
4	18
12	54
16	72

\( x \)	\( y \)
5	9
10	18
15	27
25	45

\( x \)	\( y \)
3	6
-2	-9
-18	1
9	-2

1. The first table represents an inverse variation (product x·y is constant ≈ 60)

2. The second table represents a direct variation (y/x ratio is constant = 4.5)

3. The third table represents a direct variation (y/x ratio is constant = 1.8)

4. The fourth table does not represent direct nor inverse variation because:
- No constant ratio y/x
- No constant product x·y
- Values don't follow either pattern consistently