Question

construct a function that expresses the relationship in the following statement. use k as the constant of variation. the volume of a gas in a cylinder, w, is inversely proportional to the pressure on the gas, u. choose the correct formula. a. w = kuz b. w = \frac{k}{u} c. u = kw d. w = ku

Explanation:

Step1: Recall inverse - proportion formula

If two variables $y$ and $x$ are inversely proportional, the relationship is $y=\frac{k}{x}$, where $k$ is the constant of variation.

Step2: Identify variables

Here, the volume of the gas $W$ is inversely proportional to the pressure $u$. So, substituting $y = W$ and $x = u$ into the inverse - proportion formula, we get $W=\frac{k}{u}$.

Answer:

B. $W=\frac{k}{u}$