Final answer:
Melanie demonstrates the use of representations and models to analyze situations or solve problems qualitatively and quantitatively by drawing pictures or diagrams in various contexts, including her mathematics and science classes, as well as in planning for events.
Step-by-step explanation:
Melanie is provided with a number of strategies to use to help her solve word problems in her mathematics class, and one of those strategies is drawing a picture or diagram of the problem. By applying this strategy in her science class and while arranging the seating for her sister's wedding reception, Melanie is best demonstrating her ability to use representations and models to analyze situations or solve problems qualitatively and quantitatively. This approach aligns with educational methods that focus on enhancing problem-solving skills through visual representation and development of core understanding, rather than merely relying on equations as disconnected algorithmic tools.
Drawing diagrams facilitates an intuitive grasp of the problem's structure and can simplify complex information into more manageable visual elements. This technique is bolstered by the fact that problem-solving strategies presented in educational materials often include line drawings to illustrate steps. As Melanie has shown, such visual aids can be effective across different contexts, aiding her understanding and decision-making process.