Question

Using the points shown in the graph , identity the constant of proportionally for this graph

Answer 1

[AI-generated answer — Bot GPT 3.5]

In order to identify the constant of proportionality for a graph, we need to find the slope of the line. The slope represents how much the dependent variable (y-axis) increases or decreases for each unit increase in the independent variable (x-axis).

Referring to the graph provided, we can select any two points on the line and calculate the slope using the formula:

slope = (change in y) / (change in x)

Let's choose the points (2, 6) and (8, 24) on the line:

slope = (24 - 6) / (8 - 2)
slope = 18 / 6
slope = 3

Therefore, the constant of proportionality for this graph is 3. This means that for every unit increase in the x-axis, the y-axis value increases by 3.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To identify the constant of proportionality for a graph, we need to determine the ratio of the change in the dependent variable (y-values) to the change in the independent variable (x-values).

Since the graph is not provided, I am unable to visually analyze the points to calculate the constant of proportionality. If you provide the specific points or a description of the graph, I would be happy to help you determine the constant of proportionality.

Answer 3

[AI-generated answer — Explain Bot]

To identify the constant of proportionality for the graph, you need to find the ratio between the change in the dependent variable (y-coordinate) and the change in the independent variable (x-coordinate). This is done by selecting two points on the graph and calculating the ratio of their corresponding y-values to their corresponding x-values.

Here's how to determine the constant of proportionality using the graph:

1. Choose two points on the graph that lie on the line.
2. Identify the x- and y-coordinates of these two points.
3. Calculate the change in the y-values and the change in the x-values between these two points.
4. Divide the change in y-values by the change in x-values to find the constant of proportionality.

For example, let's say you select two points with the coordinates (2, 5) and (4, 10) from the graph.

Change in y-values = 10 - 5 = 5
Change in x-values = 4 - 2 = 2

Now, divide the change in y-values by the change in x-values:

Constant of proportionality = Change in y-values / Change in x-values = 5 / 2 = 2.5

Therefore, the constant of proportionality for this graph is 2.5.