Question

y varies inversely with x. y is 3 when x is 11. what is y when x is 3? y = ?

Explanation:

Step1: Write the inverse - variation formula

The formula for inverse variation is $y=\frac{k}{x}$, where $k$ is the constant of variation.
We know that when $y = 3$ and $x = 11$, we can find $k$.
Substitute into the formula: $3=\frac{k}{11}$.

Step2: Solve for $k$

Multiply both sides of the equation $3=\frac{k}{11}$ by $11$ to get $k = 3\times11=33$.
So the equation of variation is $y=\frac{33}{x}$.

Step3: Find $y$ when $x = 3$

Substitute $x = 3$ into the equation $y=\frac{33}{x}$.
$y=\frac{33}{3}$.

Answer:

$11$