Question on: JAMB Mathematics - 2024
If x varies directly as the square root of y and x = 81 when y = 9, find x when y = \(1\frac{7}{9}\).
A
20\(\frac{1}{4}\)
B
27
C
2\(\frac{1}{4}\)
D
36
Ask EduPadi AI for a detailed answer
Correct Option: D
Since:
\(x = k\sqrt{y}\)
Given x = 81, y = 9:
\(81 = k(3)\)
\(k = 27\)
Convert mixed number:
\(1\frac{7}{9} = \frac{16}{9}\)
\(\sqrt{\frac{16}{9}} = \frac{4}{3}\)
Thus:
\(x = 27 \times \frac{4}{3} = 36\)
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