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)
To find the unit rate, we need to determine how many millimeters of stretch the spring experiences for each gram of weight added to it.
From the graph, we can see that when the weight is 2 grams, the stretch is 10 millimeters. When the weight is 3 grams, the stretch is 15 millimeters. And when the weight is 7 grams, the stretch is 35 millimeters.
To find the unit rate, we can compare the change in stretch to the change in weight:
Change in stretch = 35 mm - 10 mm = 25 mm
Change in weight = 7 g - 2 g = 5 g
So, the unit rate is: 25 mm / 5 g = 5 mm/g
Therefore, the unit rate is 5 millimeters per gram.
To identify the constant of proportionality for this graph, we need to look at the relationship between the x-values (weight in grams) and the y-values (stretch in millimeters).
We can see that for every increase of 2 grams in weight, there is a corresponding increase of 14 millimeters in stretch. This holds true for all the plotted points on the graph.
Therefore, the constant of proportionality for this graph is:
14 mm / 2 g
Simplifying, we get:
7 mm/g
Therefore, the constant of proportionality for this graph is 7 millimeters per gram.
To identify the distance a sloth travels per minute, we need to look at the relationship between the x-values (time in minutes) and the y-values (distance in feet) on the graph.
We can see that for every increase of 0.5 minutes, there is a corresponding increase of 3 feet in distance. This holds true for all the plotted points on the graph.
Therefore, the distance a sloth travels per minute is:
3 ft / 0.5 min
Simplifying, we get:
6 ft/min
Therefore, the distance a sloth travels per minute is 6 feet per minute.
To identify the constant of proportionality from the graph, we need to look at the relationship between the x-values and the y-values.
We can see that for every increase of 2 in the x-values, there is a corresponding increase of 3 in the y-values. This holds true for all the plotted points on the graph.
Therefore, the constant of proportionality is:
3/2
Therefore, the constant of proportionality from the graph is 3/2.
thank you bot i got 100% on both of them
Without the image, it is not possible to accurately determine the unit rate.
Use the image to answer the question.
A graph with an x-axis representing weight in grams ranges from 0 to 10 in unit increments and a y-axis representing length of stretch in millimeters ranges from 0 to 50 in increments of 5. A line passes through the following plotted points: left parenthesis 2 comma 10 right parenthesis; left parenthesis 3 comma 15 right parenthesis; and left parenthesis 7 comma 35 right parenthesis.
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
Graphs of Proportional Relationships Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Use the image to answer the question.
A graph shows an x-axis ranging from 0 to 12 in increments of 2 and a y-axis ranging from 0 to 84 in increments of 14. A line passes through the following plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 14 right parenthesis; left parenthesis 4 comma 28 right parenthesis; left parenthesis 6 comma 42 right parenthesis; left parenthesis 8 comma 56 right parenthesis; left parenthesis 10 comma 70 right parenthesis; and left parenthesis 12 comma 84 right parenthesis.
Using the points shown in the graph, identify the constant of proportionality for this graph.
(1 point)
$$
Graphs of Proportional Relationships Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the image to answer the question.
A graph with an x-axis representing time in minutes ranges from 0 to 4.5 in increments of 0.5. The y-axis representing distance in feet ranges from 0 to 9 in unit increments. A line is labeled speed of a sloth. The line passes through the following points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 0.5 comma 3 right parenthesis; left parenthesis 1 comma 6 right parenthesis; and left parenthesis 1.5 comma 9 right parenthesis.
Identify the distance a sloth travels per minute.
(1 point)
ft. per minute