Question

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 , proportional y equals 125 x , proportional y=125x+1 , nonproportional y equals 125 x plus 1 , nonproportional y=x+125 , nonproportional y equals x plus 125 , nonproportional y=125x , nonproportional y equals 125 x , nonproportional

Answer 1

To determine the correct equation and whether the relationship is proportional or nonproportional, let's analyze the data provided.

The data is:

- 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 data, you can see that for each additional hour, \( y \) increases by 125 parts. This indicates a linear relationship.

We can express this relationship as:

\[
y = 125x
\]

Additionally, since the output is zero when the input is zero (i.e., \( (0,0) \)), the relationship is proportional.

Putting it all together:

- The equation is \( y = 125x \)
- It is proportional.

Therefore, the correct response is:

**y = 125x, proportional**