W is directly proportional to U. If W = 5 when U = 3, find when W = 2/7
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Correct Answer: Option A
Explanation:
\(W ∠U\\
W = KU\\
K = \frac{W}{U}\\
K = \frac{5}{3}\\
W = \frac{5}{3}U\\
\frac{2}{7} = \frac{5}{3}U\\
U = \frac{2}{7} \times \frac{3}{5}\\
U = \frac{6}{35}\)
\(W ∠U\\
W = KU\\
K = \frac{W}{U}\\
K = \frac{5}{3}\\
W = \frac{5}{3}U\\
\frac{2}{7} = \frac{5}{3}U\\
U = \frac{2}{7} \times \frac{3}{5}\\
U = \frac{6}{35}\)