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Use the image to answer the question. using the points shown in the graph, identify the constant of proportionality for this graph. (1 point) A. 2/3. B. 1/2. C. 3/2. D. 2.
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GPT 3.5
To find the constant of proportionality, we need to determine the rate of change between any two points on the graph.
Let's take the first two points on the graph: (0, 0) and (3, 2).
The rate of change is determined by the change in y-coordinates (vertical change) divided by the change in x-coordinates (horizontal change).
In this case, the change in y-coordinates is 2 - 0 = 2, and the change in x-coordinates is 3 - 0 = 3.
So, the rate of change between these two points is 2 / 3.
Therefore, the constant of proportionality for this graph is 2/3.
The correct answer is A. 2/3.
Let's take the first two points on the graph: (0, 0) and (3, 2).
The rate of change is determined by the change in y-coordinates (vertical change) divided by the change in x-coordinates (horizontal change).
In this case, the change in y-coordinates is 2 - 0 = 2, and the change in x-coordinates is 3 - 0 = 3.
So, the rate of change between these two points is 2 / 3.
Therefore, the constant of proportionality for this graph is 2/3.
The correct answer is A. 2/3.
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