Graphs of Proportional Relationships Practice
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Question
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A graph with x-axis and y-axis labeled from 0 to 30 in increments of 2. Three points are plotted with a line connecting them.
A graph with x-axis and y-axis labeled from 0 to 30 in increments of 2. Points are plotted at left parenthesis 2 comma 10 right parenthesis, left parenthesis 3 comma 15 right parenthesis, and left parenthesis 6 comma 30 right parenthesis. A line is drawn connecting the three points.
The stretch of a spring in millimeters is proportional to the weight in grams attached to the end of the spring. Find the unit rate.
(1 point)
mm per gram
The unit rate would be the stretch of the spring in millimeters per gram of weight attached to the end of the spring.
How many millimeters per gram does the stretch of a spring in millimeters is proportional to the weight in grams attached to the end of the spring find the unit rate
To find the unit rate, we can look at the graph and identify two points that are on the line connecting the three plotted points. Let's choose the points (2, 10) and (3, 15) as our two points.
The change in y-coordinate (stretch of the spring) is 15 - 10 = 5 millimeters, and the change in x-coordinate (weight) is 3 - 2 = 1 gram.
Thus, the unit rate is 5 millimeters per 1 gram.
To find the unit rate, we need to determine the change in the stretch of the spring divided by the change in weight for any two points on the graph.
In this case, we have three points: (2, 10), (3, 15), and (6, 30).
To find the change in stretch, subtract the y-coordinate of one point from the y-coordinate of another point. For example, to find the change in stretch between (2, 10) and (3, 15), we subtract 10 from 15: 15 - 10 = 5 mm.
To find the change in weight, subtract the x-coordinate of one point from the x-coordinate of another point. For example, to find the change in weight between (2, 10) and (3, 15), we subtract 2 from 3: 3 - 2 = 1 gram.
Finally, divide the change in stretch by the change in weight to find the unit rate. In this case, the unit rate is:
5 mm / 1 gram.
Therefore, the unit rate for this graph is mm per gram.