Final Answer:
The correct answer is (c) as it follows a consistent ratio of 1 cup to 2 people. Therefore, 43 cups would serve 84 people, aligning with the given choices.
Step-by-step explanation:
The correct answer is option (c). To determine the number of people each quantity of rice serves, we can establish a proportional relationship. If 3 cups serve 6 people, then the ratio is 3 cups to 6 people. This simplifies to 1 cup serving 2 people. Applying this ratio to 12 cups, we get 12 cups serving 24 people (12 cups ÷ 3 cups = 4, 4 × 6 people = 24 people). Similarly, for 43 cups, the calculation would be 43 cups ÷ 3 cups = 14.33. Since we can't have a fraction of a person, we round down to the nearest whole number, yielding 14. Multiplying 14 by 6 people (the number served by 3 cups) gives us 84 people.
Therefore, the correct interpretation of the given scenario is: 3 cups of rice serve 6 people, 12 cups serve 24 people, and 43 cups serve 84 people. The correct expression for the last part is x cups serving x*2 people, or in this case, 43 cups serving 84 people. This aligns with option (c) in the choices provided, making it the correct answer. The calculation process involves understanding the proportional relationship established by the initial data and applying it consistently across different quantities of rice.