Question

The graphs represent parts of Lenny’s trip on different days, either from home to school or from school to home. Match the graphs to the descriptions of Lenny’s trip shown to the right of the graphs. Next to each graph, enter the number (1, 2, 3, 4) of the description that best matches the graph.

Answer 1

The question involves interpreting graphs in the context of motion, matching descriptions of Lenny's travels to specific graphs, and understanding the uses of three types of graphs: stem-and-leaf graphs, line graphs, and bar graphs.

Step-by-step explanation:

The student is asking a question related to graph interpretation in the field of Mathematics. Interpreting graphs is an essential skill in mathematics to visually understand relationships between different variables such as distance, time, and acceleration. In the context provided, various types of graphs like position vs. time and acceleration vs. time are mentioned, along with descriptions of Lenny's trip. This suggests the task may involve using these descriptions to identify the characteristics of motion represented on the graphs.

Exercise A1 asks to name three kinds of graphs and state when they are most appropriate to use. Here are three:

1. Stem-and-Leaf Graphs (Stemplots): Useful for small data sets, it displays numerical data by dividing each number into a stem and leaf, allowing for quick assessment of data distribution.
2. Line Graphs: Best for showing trends over time or continuous data, as they can represent how a variable changes in relation to another continuously.
3. Bar Graphs: Ideal for comparing discrete quantities across different categories or groups.

When matching the graphs to the corresponding descriptions of Lenny's trips, consideration of the direction of motion, rate of change (slope of the line), and points of reference (like the origin) is crucial. The slope of a position vs. time graph indicates the velocity of the movement, and a flat line on an acceleration graph suggests constant velocity.