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y is inversely proportional to x and y 4 when x... - JAMB Mathematics 2004 Question

y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.

A
2
B
10
C
1/5
D
1/10
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Correct Option: C

y ∝ 1/x

y = K/x

K = xy

K = (1/2) * 4 ( when y = 4 and x = 1/2)

K = 2

∴y = 2/x

10 = 2/x (when y = 10)

10x = 2

x = 2/10

x = 1/5

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