
Which representations show the relationship between the total number of miles he covers in a day, yy, and the number of hours he walks, xx?

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

Which representations show the relationship between the total number of miles he covers in a day, y, and the number of hours he walks, x?

Explore how to represent the relationship between the total distance (y) covered and the number of hours (x) walked using linear equations. This problem focuses on understanding direct proportionality, suitable for students in Grades 6-8.

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