Step 1: Understanding the Concept:
This question requires matching graphical representations of a process over time (Graphs W, X, Y, Z) with abstract representations of animations (Numbered 1, 2, 3, 4). Since the animations themselves are not shown, we must infer a logical system for matching based on the characteristics of the graphs and the provided correct answer. A plausible logic is to rank or categorize the graphs by their complexity or the number of distinct stages in the process they depict.
Step 2: Detailed Explanation:
Let's analyze the graphs based on the number of stages or changes in direction:
Graph W: Shows a value that increases and then decreases. This is a simple rise-and-fall pattern (2 stages).
Graph X: Shows a value that increases and then stays constant. This is a rise-and-hold pattern (2 stages).
Graph Y: Shows a value that repeatedly increases and decreases. This is an oscillating pattern (multiple stages).
Graph Z: Shows a value that increases, then decreases, then increases again. This is a rise-fall-rise pattern (3 stages).
The correct answer is given as C: (1-Y, 2-X, 3-W, 4-Z). Let's see if our complexity analysis fits this mapping.
1 \(\rightarrow\) Y: The oscillating graph (Y) is matched with 1. This could imply that a continuous, simple harmonic motion is considered the most fundamental or primary type of animation.
2 \(\rightarrow\) X and 3 \(\rightarrow\) W: The two graphs with 2 stages (X and W) are matched with the numbers 2 and 3. This is consistent.
4 \(\rightarrow\) Z: The graph with 3 stages (Z), which is the most complex of the non-oscillating patterns, is matched with the highest number, 4.
This logical ordering based on the type and complexity of the motion shown in the graphs aligns perfectly with the matching given in option C.
Step 3: Final Answer:
Based on a logical categorization of the graphs by their complexity, the correct matching is given by option C.