Use 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 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)
The unit rate in this case is the increase in the stretch of the spring for each gram of weight added. To find this, we can look at the graph and calculate the slope of the line connecting the three points.
Using the coordinates of the points, we can calculate the change in the stretch (y-axis) divided by the change in weight (x-axis).
For the first point (2, 10) and the second point (3, 15), the change in stretch is 15 - 10 = 5 mm and the change in weight is 3 - 2 = 1 g.
So the unit rate is 5 mm/1 g.
Similarly, for the second and third point, the change in stretch is 30 - 15 = 15 mm and the change in weight is 6 - 3 = 3 g.
So the unit rate is 15 mm/3 g.
Therefore, the unit rate in this case is 5 mm/1 g or 15 mm/3 g.