what is 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?
To find the unit rate, we need to determine how much the spring stretches in millimeters for every gram of weight attached to the end of the spring.
Let's say that for every gram of weight, the spring stretches x millimeters.
Therefore, the unit rate would be x millimeters/gram.
To find the unit rate in this scenario, we need to determine how much the spring stretches for every gram of weight attached to it.
Let's assume that the unit rate is represented by "mm/g" (millimeters per gram).
If the spring stretches x millimeters when a weight of y grams is attached, the unit rate can be calculated as:
Unit rate = x/y (mm/g)
For example, if the spring stretches 30 millimeters when a weight of 10 grams is attached, the unit rate would be:
Unit rate = 30 mm / 10 g = 3 mm/g
Therefore, the unit rate is 3 millimeters per gram (mm/g).
To find the unit rate, you need to determine how much the stretch of the spring changes per gram of weight added.
Let's assume that when no weight is attached, the spring has no stretch (0mm). When a weight of, say, 100 grams is attached, it stretches by a certain amount, let's say by 20mm.
To find the unit rate, you divide the change in stretch by the change in weight. In this case, the change in stretch is 20mm (from 0mm to 20mm) and the change in weight is 100 grams.
So, the unit rate is:
Unit rate = Change in stretch / Change in weight
= 20mm / 100g
= 0.2mm/g
Therefore, the unit rate is 0.2mm/g, meaning that for every gram of weight added, the spring will stretch by 0.2 millimeters.