Short Answer
To create a clear graph representing the relationship between stone length and patio area, define the x-axis for stone lengths in feet and the y-axis for patio area in square feet. Set appropriate scales, with the x-axis starting at 0 and counting by 1, and the y-axis starting at 0 and counting by 20, ensuring all values are represented and clearly labeled.
Step 1: Define the Axes
To accurately represent the relationship between the length of stones and the patio area, we must define our axes. The x-axis will represent the length of each stone measured in feet, while the y-axis will represent the area of the patio measured in square feet. Clearly labeling these axes is crucial for understanding the graph.
Step 2: Set Appropriate Scales
Choosing the right scales for each axis is essential. For the x-axis, the data points of 3, 5, 6, and 7 suggest a scale starting at 0 and counting by 1 will capture all necessary values. In contrast, for the y-axis, the larger values of 36, 100, 144, and 196 require a scale starting at 0 and counting by 20 to ensure clarity and readability.
Step 3: Finalize Labels and Scales
With our axes and scales defined, we can finalize our graph. The x-axis should be labeled as “length of each stone (in feet)” with a scale starting at 0 and counting by 1. Simultaneously, the y-axis should be labeled as “area of the patio (in square feet)” with a scale starting at 0 and counting by 20. This will create a well-structured and informative graph.