Graph 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 the x-axis representing weight in ounces ranging from 0 to 6 in increments of 2, and the y-axis representing cost in dollars ranging from 0 to 15 in increments of 5. A line is drawn ending with an arrow. The line begins at the origin and passes through left parenthesis 2 comma 10 right parenthesis.
At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with its constant of proportionality.
(1 point)
$$
The proportional relationship equation can be written in the form y = kx, where k is the constant of proportionality.
Since the line passes through the point (2, 10), we can substitute these values into the equation:
10 = k(2)
Solving for k:
k = 10/2
k = 5
Therefore, the equation of the graph with its constant of proportionality is y = 5x.
Question
Use the image to answer the question.
A graph shows the x-axis representing age of human in years ranging from 0 to 8 in increments of 1, and the y-axis representing age of dog in years ranging from 0 to 24 in increments of 3. A line is drawn. The line begins at the origin and passes through left parenthesis 3 comma 21 right parenthesis.
The age of a dog is proportional to the age of a human. Based on the graph, determine a dog’s age if a human is 3 years old.
(1 point)
A 3-year-old human is the same as a
-year-old dog.
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Based on the graph, we can see that the line passes through the point (3, 21).
This means that when a human is 3 years old, the corresponding dog age is 21 years.
Therefore, a 3-year-old human is the same as a 21-year-old dog.
Graph Proportional Relationships Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Use the image to answer the question.
A line graph shows gasoline in gallons on the x-axis and cost in dollars on the y-axis. The x-axis ranges from 0 to 16 in increments of 2. The y-axis ranges from 0 to 40 in increments of 5. A line starts at the origin and passes through plotted point X at left parenthesis 9.375 comma 30 right parenthesis.
Trisha’s mom asked her to fill up the car’s gas tank and gave her $30 . The graph shows the total cost of gas based on the number of gallons. The point X shows the number of gallons of gasoline Trisha can purchase. State, to the nearest whole, the number of gallons of gasoline she can purchase.
(1 point)
gallons
Based on the graph and the given information, we can see that Trisha can purchase 9.375 gallons of gasoline with $30.
To the nearest whole number, the number of gallons of gasoline she can purchase is 9 gallons.
Question
Use the image to answer the question.
A line graph shows time in weeks on the x-axis and total in dollars on the y-axis. The x-axis ranges from 0 to 8 in increments of 1. The y-axis ranges from 0 to 160 in increments of 20. A line starts at the origin and passes through plotted points left parenthesis 2 comma 50 right parenthesis; left parenthesis 3 comma 75 right parenthesis; and left parenthesis 4 comma 100 right parenthesis.
Miley is saving for a new pair of boots. They cost $150 . Every week, she puts $25 into her savings account. Based on the graph, state the number of weeks it will take for her to save enough money to buy the boots.
(1 point)
weeks
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Based on the graph, we can see that the line passes through the points (2, 50), (3, 75), and (4, 100).
This means that after 2 weeks, Miley has saved $50, after 3 weeks she has saved $75, and after 4 weeks she has saved $100.
Since Miley puts $25 into her savings account every week, we can determine how many weeks it will take for her to save $150 by dividing $150 by $25:
150 / 25 = 6
Therefore, it will take Miley 6 weeks to save enough money to buy the boots.