Final answer:
Given that 36 liters correspond to 12 hours, the correct equation representing the proportional relationship is y = 3x, where for every hour, 3 liters are accounted for. Option C is the correct answer.
Step-by-step explanation:
The student's question involves determining a proportional relationship between the number of liters of a substance and hours. Given that 36 liters are related to 12 hours, we can find the constant of proportionality by dividing the number of liters by the hours. Thus, the equation that shows the relationship between the liters (y) and the hours (x) is y = k * x, where k is the constant of proportionality.
So, k = 36 liters / 12 hours = 3 liters/hour. Therefore, the correct equation is y = 3x. Option C. Y=3x is the correct choice because it correctly represents that for every hour, 3 liters are being dealt with.