JAMB - Mathematics (2009 - No. 13)
W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7
6/35
10/21
21/10
35/6
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 = 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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