Solved: $y$ varies inversely as $x$. If $y=4$ when $x=3$, find the value of $y$ when $x=6$

Question

$y$ varies inversely as $x$ . If $y=4$ when $x=3$ , find the value of $y$ when $x=6$

Verified Answer

Explanation & Step-by-Step Solving

Solving: Variation equation: $y = \frac{k}{x} \implies k = y \cdot x = 4 \times 3 = 12$ . Now find $y$ when $x=6$ : $y = \frac{12}{6} = 2$

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