Question

Write an equation that expresses the statement.

v is inversely proportional to z.

Short answer

Equation that represents the statement is $\mathrm{v}=\frac{\mathrm{k}}{\mathrm{z}}$.

Step-by-step solution

Step 1. Understanding Inverse variation.

The relation between two variables is inversely proportional when,

$\mathrm{y}=\frac{\mathrm{k}}{\mathrm{x}}$or $\mathrm{xy}=\mathrm{k}$

Here $\mathrm{k}\ne 0$, y is inversely proportional to x and vice versa.

Step 2. Using Inverse variation, write an equation.

$\mathrm{v}=\frac{\mathrm{k}}{\mathrm{z}}$

Here k is any constant and is not equal to zero.

Step 3. Write the final equation that expresses the statement.

Final equation is:

$\mathrm{vz}=\mathrm{k}$