Question

If $y$ varies inversely as $x$, and $y=32$ when $x=3$ find $x$ when $y=15$

• A. $32$
• B. $1.4$
• C. $5.6$
• D. None of these

Answer 1

The correct option is D None of these

We know $y\alpha \frac{1}{x}$

$y=\frac{k}{x}$

when $x=3$, $y=32$

$32=\frac{k}{3}$

$k=96$

when $y=15$

$15=\frac{96}{x}$

$x=6.4$