Use the image to answer the question.
The image has a graph going from 0 to 84 (counting through 14 to 84) and the bottom grow of the graph is 0 to 12 there is a angle and the angle has a dot on every point (14 and 2, 28 and 4, 42 and 6, 56 and 8, 70 and 10, 84 and 12)
Using the points shown in the graph, identify the constant of proportionality for this graph.
The constant of proportionality can be identified by examining the change in the dependent variable (y-values) as the independent variable (x-values) increases by a constant amount.
In this case, the dependent variable (y-values) increases by 2 as the independent variable (x-values) increases by 14. Therefore, the constant of proportionality for this graph is 2/14, which can be simplified to 1/7.
To find the constant of proportionality for this graph, we need to determine the relationship between the x-values and the y-values.
Looking at the points shown on the graph, we can see that as the x-values increase by 14 (from 14 to 28, 28 to 42, and so on), the corresponding y-values increase by 2 (from 2 to 4, 4 to 6, and so on).
Therefore, the constant of proportionality for this graph is 2.
To identify the constant of proportionality for this graph, we need to examine the relationship between the x-values and y-values of the points.
From the given points on the graph:
(14, 2), (28, 4), (42, 6), (56, 8), (70, 10), (84, 12)
We can observe that as the x-values increase by 14 each time (14, 28, 42, 56, 70, 84), the corresponding y-values increase by 2 each time (2, 4, 6, 8, 10, 12).
To find the constant of proportionality, we can divide any y-value by its corresponding x-value. Let's take the first point: (14, 2).
2 / 14 = 1/7
We obtained the result 1/7. This means that for each unit increase in x (14), the value of y (2) increases by 1/7.
Hence, the constant of proportionality for this graph is 1/7.