Representations of Proportional Relationships

Olivia sold water bottles over four days. Does the table represent a proportional relationship? If the quantities are proportional, what is the constant of proportionality? 

• Yes, 4 bottles per day
• Yes, 1/4 bottle per day
• No

Fred wrote notes during an exam. The table below shows the number of pages written in relation to the time it took to make the notes (in hours). Does the table represent a proportional relationship? If the quantities are proportional, what is the constant of proportionality?

• Yes, it takes 2 hours to write 1 page
• Yes, it takes 1/2 an hour to write 1 page
• no

The graph represents the number of miles Michael ran over time. Does the graph show a proportional relationship? If the quantities are proportional, what is the constant of proportionality? 

• Yes, 10 miles per minute
• Yes, 5 miles per minute
• Yes, 2 miles per minute
• No 

Does the equation y=4x represent a proportional relationship? If the quantities are proportional, what is the constant of proportionality? 

• No
• Yes, 4
• Yes, 1/4
• Yes, x

Does the equation y=7x-1 represent a proportional relationship? If the quantities are proportional, what is the constant of proportionality? 

• Yes, 7
• Yes, 1
• Yes, x
• No 

Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of jelly? 

• 3 ounces of butter for 1 pound of jelly
• 3 ounces of jelly for 1 pound of butter
• 15 ounces of butter for 5 pounds of jelly

Noah eats 1/3 of an apple in 1/6 of a minute. How much time will it take him to eat a full apple? 

• 2 minutes to eat 1 apple
• 1/2 minute to eat 1 apple
• 3 minutes to eat 6 apples

William made cookies over consecutive hours. Write an equation to represent the proportional relationship between time and the number of cookies made. 

• y=1/15x
• y=15x
• y=30x
• y=0.067x

The graph below represents the number of vertical jumps Ava can do over time. Write an equation to represent the proportional relationship between the time and the number of jumps. 

• y=70x
• y=7x
• y=10x
• y=0.1x

In her computer science class, Megan is learning how to program computer games. For her final project, Megan is creating her own multi-level game. The graph shows the proportional relationships between the number of levels Megan has created for her game, x, and how long in weeks it took her to program them, y. What does the point (4,16) mean? 

• Megan created 16 levels in 4 weeks
• Megan created 4 levels in 16 weeks
• neither answer is correct