Question

y varies inversely with x. y is 12 when x is 5. what is y when x is 6? y = ?

Explanation:

Step1: Find the constant of variation

Since $y$ varies inversely with $x$, the equation is $y=\frac{k}{x}$, where $k$ is the constant of variation. Substitute $y = 12$ and $x = 5$ into the equation: $12=\frac{k}{5}$. Solving for $k$, we get $k = 12\times5=60$.

Step2: Find $y$ when $x = 6$

Substitute $k = 60$ and $x = 6$ into $y=\frac{k}{x}$. So $y=\frac{60}{6}=10$.

Answer:

10