Question

if y varies inversely with x, and $y = 16$ when $x=\frac{3}{4}$, what is the constant of proportionality? (1 point)
0.08
21.33
12
0.05

Explanation:

Step1: Recall inverse - variation formula

The formula for inverse variation is $y=\frac{k}{x}$, where $k$ is the constant of proportionality.

Step2: Substitute given values

We know that $y = 16$ and $x=\frac{3}{4}$. Substitute these values into the formula $y=\frac{k}{x}$, we get $16=\frac{k}{\frac{3}{4}}$.

Step3: Solve for $k$

To solve for $k$, we can rewrite the equation as $k = 16\times\frac{3}{4}$. Then $k=\frac{48}{4}=12$.

Answer:

12