y varies inversely with x. y is 12 when x is 4. what is y when x is 8? 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 $x = 4$ into the equation: $12=\frac{k}{4}$, so $k=12\times4 = 48$.

Step2: Find $y$ when $x = 8$

Substitute $k = 48$ and $x = 8$ into $y=\frac{k}{x}$. Then $y=\frac{48}{8}=6$.

Answer:

6