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.

30
28
26
24
20
18
16
14
12
10
8
6
4
2
0
0 2 4 6 8 10 12 14 16 18 20 22 24 28 30
The points are at:
First Point: (30, 6)
Second Point: (15, 3)
Third Point: (10, 2)

1 answer

To find the unit rate, we need to find the ratio of the change in stretch to the change in weight.

From the first point (30, 6) to the second point (15, 3), the change in stretch is 6 - 3 = 3 millimeters and the change in weight is 30 - 15 = 15 grams.

So, the rate is 3 millimeters / 15 grams = 0.2 millimeters per gram.

Therefore, the unit rate is 0.2.