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)
mm per gram
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Sorry, it seems like the unit rate is missing from the question. Can you please provide the weight in grams and the stretch of the spring in millimeters so I can calculate the unit rate for you?
To find the unit rate, we need to determine the amount of stretch per unit of weight. In this scenario, the unit of stretch is millimeters (mm) and the unit of weight is grams (g).
To calculate the unit rate, we divide the amount of stretch by the weight. Let's assume that when a weight of x grams is attached to the spring, the spring stretches y millimeters.
Therefore, the unit rate is given by:
Unit Rate = (Amount of stretch in mm) / (Weight in grams)
Unit Rate = y mm / x g
So, the unit rate in this case is mm per gram (mm/g).
Please note that the values of the amount of stretch and weight need to be determined through experimentation or provided in the given problem statement in order to calculate the unit rate accurately.
To find the unit rate, we need to compare the change in one quantity to the change in the other quantity.
In this case, the stretch of the spring is the dependent variable (y), and the weight attached to the spring is the independent variable (x).
The unit rate, mm per gram, represents how many millimeters the spring stretches for every gram of weight added.
To calculate the unit rate, we can use the formula:
Unit Rate = Change in y / Change in x
However, since it is given that the stretch of the spring is directly proportional to the weight attached, the unit rate will remain constant. Therefore, we can choose any two values to calculate the unit rate.
For example, if we consider a change in weight from 100 grams to 200 grams, and the corresponding stretch of the spring changes from 10 mm to 20 mm, we can calculate the unit rate as follows:
Unit Rate = (20 mm - 10 mm) / (200 g - 100 g)
= 10 mm / 100 g
= 0.1 mm per gram
Therefore, the unit rate for this scenario is 0.1 mm per gram.