y is inversely proportional to x and y = 4, when x = \(\frac{1}{2}\), find x when y = 10
A
2
B
10
C
\(\frac{1}{5}\)
D
\(\frac{1}{10}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
y ∝ \(\frac{1}{x}\)
y = \(\frac{k}{x}\)
y = 4, x = \(\frac{1}{2}\), find x when y = 10
4 = \(\frac{k}{\frac{1}{2}}\)
k = 2
Therefore, x = \(\frac{2}{10} = \frac{1}{5}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #70174)