Question

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
, nonproportional
y equals 125 x , nonproportional

y=125x
, proportional
y equals 125 x , proportional

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

y=125x+1
, nonproportional

Answer 1

To determine the equation that represents the situation and whether it is proportional or nonproportional, we can analyze the data given in the table.

From the data:

• 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

We can see that for every hour (x), the machine produces 125 parts (y). This suggests the relationship can be described linearly.

To form the equation, we can note that:

• The slope (rate of change) is 125 (since for each additional hour, 125 more parts are produced).
• Since the machine produces 0 parts at 0 hours, the relationship passes through the origin.

Thus, the equation that describes this relationship is:

y = 125x

Because the relationship passes through the origin (0,0) and is a direct linear relationship without a y-intercept other than zero, this relationship is proportional.

Therefore, the correct response is:

y = 125x, proportional