Exploring Graphs of Proportional Relationships

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.

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.

What makes a graph proportional?

• Straight Line

• The line goes through (0,0)

• Curvy line

• Straight line and passes through (0,0)

What is the constant of proportionality? Remember to simplify your answer.

• k=5

• k=6

• k=30

• k=1

Mathematical Equivalence

ON

What does the ordered pair (20, 3000) represent?

• The machine folds 3,000 sheets in 20 minutes.

• The machine folds 20 sheets in 3,000 minutes.

• There are 3,000 sheets in 20 minutes.

• There are 20 sheets in 3,000 minutes.

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.

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

• A

• B

• C

• D

Graph a proportional line

with a constant of 2/4

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $200 earned for every 2 hours worked
  is the unit rate

• $500 is earned for every 8 hours worked

• $250 is earned after working 3 hours