0580/22 Oct/Nov 2024, Question 12: Proportion to Powers of x
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Given y varies directly with √(x + 1), and y = 10.5 at x = 8, work out the value of y at x = 1.56.
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Solution · 3 marks
- 1y = k√(x + 1)
- 210.5 = k√9 = 3k → k = 3.5
- 3y = 3.5 × √2.56 = 3.5 × 1.6
- 4y = 5.6
Answer5.6
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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 12.
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