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. y (number of parts) x (number of hours) 0 0 125 1 250 2 375 3 500 4 (1 point) Responses y=125x , nonproportional y equals 125 x , nonproportional y=125x , proportional y equals 125 x , proportional y=125x+1 , nonproportional y equals 125 x plus 1 , nonproportional y=x+125 , nonproportional

Answer 1

To determine the relationship between the number of parts produced (y) and the number of hours (x), we can analyze the data provided:

• When x = 0, y = 0.
• When x = 1, y = 125.
• When x = 2, y = 250.
• When x = 3, y = 375.
• When x = 4, y = 500.

From this information, we can see that each hour, the machine produces 125 more parts. This gives us a consistent rate of change, and we can write the equation as:

\[ y = 125x \]

Since the relationship passes through the origin (0,0) and has a constant ratio between y and x, this indicates that it is a proportional relationship.

So the correct response is:

y = 125x, proportional