Given that $y$ is inversely proportional to $\sqrt{x-1}$ and that the difference in the val

Question

Given that $y$ is inversely proportional to $\sqrt{x-1}$ and that the difference in the values of $y$ is $\frac{1}{4}$ when the values of $x$ are $5$ and $10$, express $y$ in terms of $x$. Source check: an unsigned difference of $1/4$ permits either sign of the proportionality constant. The positive answer assumes $y(5)-y(10)=1/4$.

Accepted Answer

$y=\pm\frac{3}{2\sqrt{x-1}}$, $x>1$. The positive sign assumes $y(5)-y(10)=1/4$.

Inverse Proportion Involving a Square Root Expression

Inverse Proportion Involving a Square Root Expression

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