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)
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.
To find the unit rate, we need to determine the ratio between the stretch of the spring and the weight attached to it. Let's take the first point as an example:
First Point: (30, 6)
The stretch of the spring is 6 millimeters, and the weight attached is 30 grams.
To find the unit rate, divide the stretch by the weight:
Unit Rate = Stretch / Weight
Unit Rate = 6 mm / 30 g
Simplifying the ratio, we get:
Unit Rate = 0.2 mm/g
Therefore, the unit rate is 0.2 millimeters per gram.
To find the unit rate, we need to determine the ratio between the change in stretch (in millimeters) and the change in weight (in grams).
From the given data, we can see that when the weight is reduced from 30 grams to 15 grams, the stretch reduces from 6 millimeters to 3 millimeters. Thus, the change in stretch is 6 - 3 = 3 millimeters.
Similarly, when the weight is reduced from 15 grams to 10 grams, the stretch reduces from 3 millimeters to 2 millimeters. Thus, the change in stretch is 3 - 2 = 1 millimeter.
So, the unit rate is the change in stretch per change in weight, which is 1 millimeter per 5 grams.
Therefore, the unit rate is 1 millimeter per 5 grams.