Graphs of Proportional Relationships Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 1 of 51 of 5 Items Question Use the image to answer the question. 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
one dot is at 10 one is at 15 and one is it 30
To find the unit rate, we need to determine the stretch (in millimeters) for a weight of 1 gram.
From the given information, we can see that:
- The stretch for a weight of 10 grams is 10 millimeters.
- The stretch for a weight of 15 grams is 15 millimeters.
- The stretch for a weight of 30 grams is 30 millimeters.
To find the stretch for 1 gram, we can set up a proportion:
10 grams / 10 millimeters = 1 gram / x millimeters
Cross-multiplying, we get:
10 grams * x millimeters = 10 millimeters * 1 gram
Simplifying, we have:
x = 10 millimeters * 1 gram / 10 grams
x = 1 millimeter / gram
Therefore, the unit rate is "1 millimeter per gram."
To find the unit rate, we need to determine the change in the stretch of the spring (in millimeters) for each unit change in weight (in grams).
Looking at the data provided, we can see that the stretch of the spring increases by 5 millimeters when the weight increases by 5 grams (from 10 grams to 15 grams), and it increases by 15 millimeters when the weight increases by 15 grams (from 10 grams to 30 grams).
Therefore, the unit rate is the change in the stretch of the spring (in millimeters) divided by the change in weight (in grams).
For the given data, the unit rate would be:
Unit rate = Change in stretch / Change in weight
= (15 mm - 10 mm) / (30 g - 10 g)
= 5 mm / 20 g
= 1/4 mm/g
So, the unit rate for this proportional relationship is mm per gram, specifically 1/4 mm per gram.
To find the unit rate, we can use the formula:
Unit rate = Change in the dependent variable / Change in the independent variable
In this question, the dependent variable is the stretch of the spring in millimeters, and the independent variable is the weight attached to the end of the spring in grams.
The given data points are:
- One dot is at 10 (weight in grams) and the stretch of the spring is not provided.
- One dot is at 15 (weight in grams) and the stretch of the spring is not provided.
- One dot is at 30 (weight in grams) and the stretch of the spring is not provided.
To find the unit rate, we need the change in the stretch of the spring and the change in weight. Since the stretch of the spring is not provided, we cannot calculate the unit rate.