Unfortunately, I cannot create graphs as a text-based AI. However, I can explain how to graph proportional relationships.
To graph a proportional relationship, you will need to have two sets of data: one set for the independent variable (usually denoted by the "x" axis) and one set for the dependent variable (usually denoted by the "y" axis).
For example, let's say we have a proportional relationship where the number of hours worked (x) is related to the amount of money earned (y). We have the following data points:
x: 1, 2, 3, 4, 5
y: 10, 20, 30, 40, 50
To graph this relationship, you would plot the points (1, 10), (2, 20), (3, 30), (4, 40), and (5, 50) on the coordinate plane. The x-coordinate represents the number of hours worked, and the y-coordinate represents the amount of money earned.
Once you have plotted all the points, you can draw a line connecting them. Since this is a proportional relationship, the line will be a straight line that passes through the origin (0, 0). This means that as the number of hours worked increases, the amount of money earned also increases at a constant rate.
In our example, the line would start at the origin (0, 0) and go through the points (1, 10), (2, 20), (3, 30), (4, 40), and (5, 50).
Graphs of Proportional Relationships unit lesson 7
6 answers
Using the points shown in the graph, identify the constant of proportionality for this graph
(1 point)
(1 point)
To find the constant of proportionality, we can choose any two points on the graph and calculate the ratio of the y-coordinates to the x-coordinates. The constant of proportionality is the same for all pairs of corresponding values in a proportional relationship.
Let's choose two points on the graph, (1, 10) and (2, 20).
The ratio of the y-coordinates to the x-coordinates is:
(20/10) = 2
Therefore, the constant of proportionality for this graph is 2.
Let's choose two points on the graph, (1, 10) and (2, 20).
The ratio of the y-coordinates to the x-coordinates is:
(20/10) = 2
Therefore, the constant of proportionality for this graph is 2.
Identify each graph as proportional or non-proportional. Enter "1' to indicate it is proportional or '2' to indicate it is non-proportional. (2 points)
I apologize, but as a text-based AI, I am not able to view or analyze specific graphs. I can only provide general guidance on how to identify whether a graph represents a proportional or non-proportional relationship.
To determine if a graph represents a proportional relationship, you can look for the following characteristics:
1. Linearity: A proportional relationship will be represented by a straight line on the graph.
2. Passing through the origin: A proportional relationship will pass through the origin (0, 0) on the graph.
3. Consistent ratio: The ratio of the y-coordinates to the x-coordinates should be constant for all points on the line.
If the graph satisfies all three conditions, then it represents a proportional relationship.
On the other hand, if the graph is not a straight line or does not pass through the origin, it represents a non-proportional relationship.
I recommend analyzing each graph using these criteria and determining if they are proportional or non-proportional based on the characteristics mentioned above.
To determine if a graph represents a proportional relationship, you can look for the following characteristics:
1. Linearity: A proportional relationship will be represented by a straight line on the graph.
2. Passing through the origin: A proportional relationship will pass through the origin (0, 0) on the graph.
3. Consistent ratio: The ratio of the y-coordinates to the x-coordinates should be constant for all points on the line.
If the graph satisfies all three conditions, then it represents a proportional relationship.
On the other hand, if the graph is not a straight line or does not pass through the origin, it represents a non-proportional relationship.
I recommend analyzing each graph using these criteria and determining if they are proportional or non-proportional based on the characteristics mentioned above.
the following plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 14 right parenthesis; left parenthesis 4 comma 28 right parenthesis; left parenthesis 6 comma 42 right parenthesis; left parenthesis 8 comma 56 right parenthesis; left parenthesis 10 comma 70 right parenthesis; and left parenthesis 12 comma 84 right parenthesis.
Using the points shown in the graph, identify the constant of proportionality for this graph.
Using the points shown in the graph, identify the constant of proportionality for this graph.
3 answers