Question

find the mathematical model for the following statement. remember to use k as the constant of proportionality. p varies jointly as the product of r and t inversely to v.

Explanation:

Step1: Recall joint - inverse variation formula

If a variable $y$ varies jointly as $x_1$ and $x_2$ and inversely as $x_3$, the formula is $y = k\frac{x_1x_2}{x_3}$.

Step2: Substitute variables

Here, $p$ is $y$, $R$ is $x_1$, $T$ is $x_2$ and $V$ is $x_3$. So the mathematical model is $p=k\frac{RT}{V}$.

Answer:

$p = k\frac{RT}{V}$