0580/21 May/Jun 2021, Question 14: Proportion to Powers of x
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Given y varies directly with the square root of x − 3, and y = 20 when x = 28, work out the value of y at x = 39.
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Solution · 3 marks
- 1y = k√(x − 3)
- 220 = k√(28 − 3) = 5k, so k = 4
- 3y = 4√(39 − 3) = 4 × 6
- 4= 24
Answer24
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