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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
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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