Graphs of proportional relationships practice 7 A math
The stretch of a spring in millimeters in proportional to the weight in grams attached to the end of the spring. Find the unit rate
To find the unit rate, we need to determine how much the spring stretches for each gram of weight added.
Let's assume that when there is no weight attached to the spring, it has a length of 0 millimeters. This will be our initial point (0,0) on the graph.
Now, let's consider a situation where a weight of 100 grams is added to the spring. Let's assume that the spring stretches to a length of 20 millimeters in this case. This will be our second point (100, 20) on the graph.
To find the unit rate, we need to calculate the change in length (y-value) per change in weight (x-value).
Change in length = 20 - 0 = 20 millimeters
Change in weight = 100 - 0 = 100 grams
Unit rate = Change in length / Change in weight
Unit rate = 20 / 100
Unit rate = 0.2 millimeters/gram
Therefore, the unit rate is 0.2 millimeters per gram.
To find the unit rate in this problem, we need to determine how much the spring stretches for each gram of weight.
Let's say we have the following data:
Weight (in grams): 100, 200, 300, 400
Stretch (in millimeters): 10, 20, 30, 40
To find the unit rate, divide the stretch by the weight for each data point:
Unit rate = Stretch / Weight
For the first data point, the unit rate is:
Unit rate = 10 mm / 100 g = 0.1 mm/g
Repeat this calculation for each data point to find the respective unit rates.
Once you have found the unit rates for all the data points, you can also check if they are all the same. Since the relationship between the stretch and the weight is proportional, the unit rate should remain constant for all the data points.