Question

On a rectangular hyperbola, if one point is (2, 3) and y varies inversely to x, find y when x is 6.

Answer 1

Question #7511 On a rectangular hyperbola, if one point is $(2,3)$ and $y$ varies inversely to $x$, find y when $x$ is 6.

Solution. The condition entails that $y = \frac{c}{x}$, $(2,3)$ lies on this hyperbola hence $c = 6$. So the equation of this hyperbola is, in fact, $y = 6 / x$, when $x = 6$, one can get that $y = 1$.

Answer. $y = 1$.