The unit rate in this scenario would be the amount the spring stretches in millimeters for each gram of weight attached. To find the unit rate, we can calculate the change in stretch divided by the change in weight.
Using the given points, we can determine the change in stretch and weight:
- (2, 10): This point represents a weight of 10 grams and a stretch of 2 millimeters.
- (3, 15): This point represents a weight of 15 grams and a stretch of 3 millimeters.
- (6, 30): This point represents a weight of 30 grams and a stretch of 6 millimeters.
The change in stretch is 6 - 2 = 4 millimeters.
The change in weight is 30 - 10 = 20 grams.
Therefore, the unit rate is 4 millimeters per 20 grams, which simplifies to 0.2 millimeters per gram.
Graphs of proportions the image to answer the question.
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 (2, 10), (3, 15), and (6, 30). 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
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