Question

write the relationship below using function notation (that is, y is a function x is written y = f(x)). number of molecules, m, in a gas, is a function of the volume of the gas, v. \boxed{} = f(\boxed{})

Explanation:

Step1: Identify the dependent and independent variables

The number of molecules \( m \) depends on the volume \( v \), so \( m \) is the dependent variable and \( v \) is the independent variable.

Step2: Apply function notation

In function notation, if \( y \) is a function of \( x \), we write \( y = f(x) \). Here, replacing \( y \) with \( m \) and \( x \) with \( v \), we get \( m = f(v) \).

Answer:

\( m = f(v) \)