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W is directly proportional to U If w 5 when U 3... - JAMB Mathematics 2009 Question

W is directly proportional to U. If w = 5 when U = 3, find when W = 2/7
A
6/35
B
10/21
C
21/10
D
35/6
correct option: a

(W ∝ U\

W = KU\

K = \frac{W}{U}\

K = \frac{5}{3}\

W = \frac{5}{3}U\

\frac{2}{7} = \frac{5}{3}U\

U = \frac{2}{7} \times \frac{3}{5}\

U = \frac{6}{35})

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