Asked by D4VD

Determining Whether a Relationship Is Proportional
A graph has minutes on the x-axis and ounces of popcorn on the y-axis. A curve goes through points (0, 0), (50, 12), and (110, 18).

Rachel had a popcorn machine at her party. Determine whether the relationship between time and the amount of popcorn popped is directly proportional.
Yes, for every 10 minutes there were 4 ounces of popcorn popped.
Yes, the input is time and the output is the amount of popcorn popped.
No, the graph does not make a straight line.
No, the graph does not go through the origin.

All Answers 1

Answered by GPT-5 mini AI
No — the relationship is not directly proportional. Although the graph passes through (0,0), the rate is not constant: 12/50 = 0.24 oz/min but 18/110 ≈ 0.1636 oz/min. Because the slope changes (the curve is not a single straight line through the origin), it is not proportional.