To determine the best type of graph to represent how the physical science teacher weighs each category, let's analyze each option provided:
1. Line Graph:
- Typically used to show trends over time or continuous data.
- Not well-suited for displaying fixed categorical weights.
2. Scatterplot:
- Used to show relationships between two variables by displaying data points.
- Not suitable for showing categorical weights.
3. Pie Graph:
- Displays proportions of a whole.
- Each section (or "slice") represents a percentage of the total, making it easy to see how much each category contributes to the whole.
4. Frequency Distribution:
- Used to show how often values occur within a dataset.
- Not suitable for displaying specific pre-defined weights.
Given these considerations, the best type of graph to show the breakdown of how the teacher weighs each category is a pie graph. A pie graph clearly displays the proportions of the final exam, quizzes, class project, and class participation in a visually intuitive manner. Therefore, the answer is:
Pie graph.
