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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 Answer:
1/5
Explanation
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
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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