Graphs of Proportional Relationships

True/False: The point (4 , 2) means that 4 cookies were purchased for $2.

• True

• False

What does the point (0,0) represent in context of the situation?

• No cookies were sold.

• No money is made selling cookies.

• No money is made when selling two cookies.

• No cookies were sold and no money was made.

Using the graph above, determine the constant of proportionality.

• k = 0

• k = 1

• k = 3

• k = 6

What does the point (2, 94) represent in this situation?

• Every week, they earn $94.

• After 94 weeks, they save $2.

• After 1 week, they save $47.

• After 2 weeks, they save $94.

Mickey is traveling at a constant speed on his bicycle. The graph shows how d, the total distance traveled, depends on t, the time in hours.

What can be concluded from the information on the graph?

• Mickey is riding at a speed of 11 miles per hour.

• Mickey rode a total of 12 miles.

• Mickey rode a total of 11 miles.

• Mickey is riding at a speed of 12 miles per hour.

Which graph shows a proportional relationship between x and y? (a)  

• A

• B

• C

• D

The graph shows how the depth of a submarine increased as it dove beneath the ocean surface. What can be concluded from the information on the graph?

• The submarine's depth increased at a rate of 1/3 meter per second.

• The submarine's depth increased from 1 meter to 3 meters in 1 second.

• The submarine's depth increased at a rate of 3 meters per second.

• The submarine's depth increased from 1 meter to 3 meters in 3 seconds.

Which of the following statements can be used to create the graph shown?

• For every 5 hours of work you get $6

• For every 24 hours of work you get $10

• For every 36 hours of work you get $50

• For every 6 hours of work you get $5

The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?

• The graph is proportional  because it is linear.

• The graph is proportional because it is linear and passes through the origin.

• The graph is not proportional because it does not pass through the origin.

• The graph is not proportional because it is not linear and it does not pass through the origin.

What does the coordinate (1,6) tell us in the context of this graph?

• A sloth moves 1 foot every 6 minutes.

• It takes a sloth 1 minute to move 6 feet.