JAMB - Mathematics (2024 - No. 3)

y is inversely proportional to x and y = 4, when x = \(\frac{1}{2}\), find x when y = 10
2
10
\(\frac{1}{5}\)
\(\frac{1}{10}\)

Explanation

y ∝ \(\frac{1}{x}\)

y = \(\frac{k}{x}\)

y = 4, x = \(\frac{1}{2}\), find x when y = 10

4 = \(\frac{k}{\frac{1}{2}}\)

k = 2

Therefore, x = \(\frac{2}{10} = \frac{1}{5}\)

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