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Quiz yourself on ProportionGet your flashcardsBuild my revision planTrack my progressHigher Level: Harder Proportions
More complex relationships include:
- Square relationships: y ∝ x² (area problems)
- Cube relationships: y ∝ x³ (volume problems)
- Square root: y ∝ √x (some physics laws)
- Combined: z ∝ xy (z proportional to product of x and y)
Key insight: The constant k gives the relationship its "strength"
If y ∝ x² and k = 3, then y = 3x², and doubling x makes y four times bigger (×4), whatever the value of k
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