Use the image to answer the question.

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)

Answer 1

To find the unit rate of the spring stretch in relation to the weight, we can calculate the ratio of the stretch (in mm) to the weight (in grams) for the points provided on the graph.

The points given are:

1. (2, 10) – This indicates that when the weight is 2 grams, the stretch is 10 mm.
2. (3, 15) – This indicates that when the weight is 3 grams, the stretch is 15 mm.
3. (6, 30) – This indicates that when the weight is 6 grams, the stretch is 30 mm.

To find the unit rate (the stretch per gram), we can calculate the ratio for each point and check to see if they are consistent.

1. For the point (2, 10):

   • Unit rate = 10 mm / 2 g = 5 mm/g

2. For the point (3, 15):

   • Unit rate = 15 mm / 3 g = 5 mm/g

3. For the point (6, 30):

   • Unit rate = 30 mm / 6 g = 5 mm/g

Since the unit rate is consistent across all points, the unit rate is 5 mm per gram.