y is directly proportional to w². x is inversely proportional to w. When w = 10, y = 5 and x = 0.4. Find y in terms of x. Give your answer in its simplest form.
- y is directly proportional to w². x is inversely proportional to w. When w = 10, y = 5 and x = 0.4. Find y in terms of x. Give your answer in its simplest form.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- 22 [y=] 4 / (5x²) final answer
- 22 or [y =] 0.8 / x² final answer
- 22 B3 for 4/x = √(20y) or y/x² = 0.05 oe
- 22 or y = (1/20)x² oe seen
- 22 OR B2 for y = w²/20 oe and x = 4/w oe
- 22 or B1 for y = w²/20 oe or x = 4/w oe
- 22 or y = kw² and x = c/w
- 22 OR B2 for y = k/x²
- 22 M1 for 5 = k / 0.4²
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