A can of peas weighs 10 oz. Explain how you would make a graph to model the total weight of peas in terms of the number of cans for up to 4 cans.
Cannot graph here.
Have weight on the ordinate (y) and number of cans on the abscissa (x).
and the slope of the line will be 10, since oz = 10 * cans
Your mom
To create a graph modeling the total weight of peas in terms of the number of cans, you will need to follow these steps:
1. Determine the relationship: Start by understanding the relationship between the number of cans and the total weight of peas. In this case, the relationship is linear. This means that as the number of cans increases, the total weight of peas will also increase proportionally.
2. Define your variables: Let's define the number of cans as "x" and the total weight of peas as "y."
3. Identify the data points: To create a graph for up to 4 cans, we need to determine the total weight of peas for each possible number of cans. Here are the data points:
Number of Cans (x) | Total Weight of Peas (y)
--------------------------------------------------
1 | 10
2 | 20
3 | 30
4 | 40
4. Plot the points: On a graph paper or using graphing software, create a coordinate system with x and y axes. Label the x-axis as "Number of Cans" and the y-axis as "Total Weight of Peas." Plot the data points for each number of cans and their corresponding total weight of peas.
For example, at x = 1, y = 10; so, plot the point (1, 10). At x = 2, y = 20; plot (2, 20), and so on.
5. Connect the points: Draw a line smoothly connecting all the points on the graph. Since the relationship between the number of cans and the total weight of peas is linear, the line should be straight and inclined upwards.
6. Label the graph: Write a suitable title for the graph, such as "Total Weight of Peas in relation to the Number of Cans." Don't forget to label the x and y axes with their respective variable names and units (number of cans, ounces).
7. Extend the graph (optional): If you want to extend the graph beyond 4 cans, continue the pattern by incrementing the x-values and calculating the corresponding y-values based on the linear relationship.
By following these steps, you can create a graph that visually represents the total weight of peas in terms of the number of cans for up to 4 cans.