The table shows the number of parts, y, a machine produces each hour, x. Write an equation for this situation, and indicate if this is proportional or nonproportional.

To analyze the situation, we can look at the data provided in the table and find a relationship between the number of parts produced (y) and the number of hours (x):

• At \(x = 0\), \(y = 0\)
• At \(x = 1\), \(y = 125\)
• At \(x = 2\), \(y = 250\)
• At \(x = 3\), \(y = 375\)
• At \(x = 4\), \(y = 500\)

From this data, we can see that for every additional hour (x), the machine produces 125 more parts (y). This indicates a linear relationship.

We can express this relationship with the equation:

\[ y = 125x \]

Since the relationship starts at the origin (0,0), we can conclude that it is proportional because the ratio of \(y\) to \(x\) is constant (125).

Therefore, the correct equation is:

\[ y = 125x, \text{ proportional} \]