Final answer:
To determine whether x and y are in a proportional relationship, we can check if the ratio of y to x remains constant for different values of x and y. If the ratio is constant, then x and y are in a proportional relationship.
Step-by-step explanation:
To determine whether x and y are in a proportional relationship, we can check if the ratio of y to x remains constant for different values of x and y. If the ratio is constant, then x and y are in a proportional relationship. Let's say that x = 2, 4, and 6, and y = 5, 10, and 15, respectively. If we calculate the ratios y/x for each pair, we get 5/2 = 2.5, 10/4 = 2.5, and 15/6 = 2.5. Since the ratio is the same for all three pairs, we can conclude that x and y are in a proportional relationship.
The equation that represents this proportional relationship is y = kx, where k is the constant ratio. In this case, the constant ratio is 2.5, so the equation is y = 2.5x.