To find the unit rate, we need to determine how many millimeters the spring stretches for each gram of weight added. We can do this by finding the change in stretch (in millimeters) divided by the change in weight (in grams) between any two points on the line.
Let's take the points (2, 10) and (3, 15) on the line. The change in stretch is 15 - 10 = 5 millimeters, and the change in weight is 3 - 2 = 1 gram. Therefore, the unit rate is 5 millimeters per 1 gram.
We can also check this using the other set of points (3, 15) and (7, 35). The change in stretch is 35 - 15 = 20 millimeters, and the change in weight is 7 - 3 = 4 grams. The unit rate is 20 millimeters per 4 grams, which simplifies to 5 millimeters per 1 gram.
Therefore, the unit rate is 5 millimeters per gram.
Use the image to answer the question.
A graph with an x-axis representing weight in grams ranges from 0 to 10 in unit increments and a y-axis representing length of stretch in millimeters ranges from 0 to 50 in increments of 5. A line passes through the following plotted points: left parenthesis 2 comma 10 right parenthesis; left parenthesis 3 comma 15 right parenthesis; and left parenthesis 7 comma 35 right parenthesis.
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
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