To determine the representation of the relationship between the total number of miles, $y$, and the number of hours, $x$, we assume the problem involves a linear relationship—meaning the total distance $y$ is directly proportional to the time $x$ spent walking. The general form of such a relationship is given by:

$y = r \cdot x$

Where:

• $y$ is the total distance (in miles).
• $x$ is the total time (in hours).
• $r$ is the constant rate of walking (miles per hour).

Now, different representations of this relationship could include:

1. Equation: $y = r \cdot x$ This is the algebraic form showing that the total miles are a function of the rate of walking times the hours walked.

2. Graph: A straight line through the