The equation y = 0.5x describes a proportional relationship and is shown in the graph.
graph of a line beginning at point 0 comma 0 and going through 9 comma 3
Which of the following statements is true about the graph shown?
The graph does not show a proportional relationship.
The equation y = 0.5x is correctly represented by the graph.
The graph is incorrect and the line should go through the point (0.5, 0.5).
The graph is incorrect and the line should go through the point (6, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 15 9 21
y 5 3 7
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (15, 5).
A line passes through the point (0, 0) and continues through the point (7, 21).
A line passes through the point (0, 0) and continues through the point (5, 15).
A line passes through the point (0, 0) and continues through the point (3, 9).
Question 3(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MC)
In gym class, a student can do 30 sit-ups in 60 seconds and 90 sit-ups in 180 seconds.
Graph the proportional relationship.
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 120 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30
Question 4(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MC)
The proportional relationship between cost and pints of blueberries is shown in the table.
Blueberries (in pints) 3 5
Cost (in dollars) 12.60 21
Describe what a graph of the proportional relationship would look like.
A coordinate plane with the x-axis labeled Cost (in dollars) and the y-axis labeled Blueberries (in pints) shows a line going through (0, 0) and (5, 21).
A coordinate plane with the x-axis labeled Cost (in dollars) and the y-axis labeled Blueberries (in pints) shows a line going through (0, 0) and (3, 12.60).
A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (12.60, 3).
A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 21).
Question 5(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MC)
The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.4w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown.
graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 0.8
Which of the following statements is true about the graph shown?
The graph is incorrect and the line should go through the point (0.4, 1).
The equation c = 0.4w is correctly represented by the graph.
The x-axis and y-axis are labeled incorrectly.
The graph does not show a proportional relationship.
Question 6 (Essay Worth 4 points)
(Graphing Proportional Relationships HC)
There is a proportional relationship between the weight and total cost of a bag of lemons. One bag weighs 2.4 pounds and costs $5.28. Another bag weighs 2.7 pounds and costs $5.94.
Describe how you would graph the proportional relationship. (4 points)
