3. Use the graph to answer the questions.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. The constant of proportionality is Response area
b. Write an equation that represents the linear graph. Response area
c. This is a proportional relationship because the graph shows Response area .
1/5 , 2y=x , 2 , 5y=x , 1 , the points are connected , a linear relationship , y=5x , 5 , linear with a y-intercept at (0,0) , a constant rate of change , 1/2 , 1/2y=x
a. The constant of proportionality is 1/5.
b. Write an equation that represents the linear graph: y = 1/5x.
c. This is a proportional relationship because the graph shows a constant rate of change.
where did you get 1/5
Use the graph to match the responses.%0D%0A%0D%0A(3 points)%0D%0APut responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.%0D%0AThe constant of proportionality%0D%0AAn equation that represents this graph.%0D%0AThe y-intercept
y=2x
(0,2)
1/2
(0,0)
Y=x
(0,1)
0
2
y=1/2x
(2,0)
1
a. The constant of proportionality is 1/5.
b. Write an equation that represents the linear graph: y = 1/5x.
c. This is a proportional relationship because the graph shows a constant rate of change.
To answer the questions using the graph:
a. The constant of proportionality is the value that relates the ratio of y to x in a proportional relationship. To find it, you can look at the graph and see how much y changes for every 1 unit change in x. In this case, the constant of proportionality is the slope of the graph. To determine the slope, you can choose any two points on the graph and calculate the change in y divided by the change in x. Once you have the slope, you can insert the value in the response area.
b. To write an equation that represents the linear graph, you need to determine the slope (constant of proportionality) and the y-intercept. The slope can be found by using the method described in part a. To find the y-intercept, you can look at the point where the line crosses the y-axis, which is the point (0, b), where b is the y-intercept. Once you have the slope and the y-intercept, you can write the equation in the form y = mx + b and insert it in the response area.
c. To determine if the graph represents a proportional relationship, you need to check if the points on the graph form a straight line passing through the origin (0,0). If the points are connected by a straight line passing through the origin, then it is a proportional relationship. Insert the appropriate response in the response area.
By following these steps and analyzing the graph, you should be able to answer the questions accurately.