Final answer:
The amount of rice Dwight brought, represented as y, is 30 percent more than the rice Michael brought, represented as x. The relationship can be expressed as y = x + 0.30x or y = 1.30x, both of which are correct.
Step-by-step explanation:
The relationship between the amount of rice Michael brought (x grams) and the amount that Dwight brought (y grams) can be represented by the equation y = x + 0.30x. This equation comes from the fact that Dwight brought 30 percent more rice than Michael. To get the total amount Dwight brought, you multiply the amount Michael brought by 1.30 (which is 100% + 30%).
If x is the amount of rice Michael brought, then Dwight brought 30% more, which can also be written as 1.30 times Michael's amount. This gives us the equation y = 1.30x to represent Dwight's amount.
Both equations y = x + 0.30x and y = 1.30x correctly describe the relationship between the amount of rice Michael and Dwight brought, because both equations will give you Dwight's amount when you substitute the value of x for Michael's amount.