Interpreting Proportional Relationship Graphs

The graph shows the cost of buying gas at the gas station.

Is the number of gallons bought proportional to the cost?

• Yes, it is a proportional relationship

• No, this is not a proportional relationship

What does the point (10, 30) mean in the context of the situation?

• 10 times 3 is 30

• 10 gallons of gas costs $30

• 30 gallons of gas costs $10

• (20, 60)

The graph shows the number of miles a car has driven over time.

Is the number of miles driven proportional to the amount of time? How do you know?

​ (a)   , I know this because there ​ (b)   and ​ (c)  

• Yes

• is a straight line

• it goes through the origin.

• No

• is a vertical line

• it goes on the graph.

What does the point (5, 250) mean in the context of the situation?

• To drive 5 miles it takes 250 hours.

• In 5 hours a car can drive 250 miles.

• The top of the graph.

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

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

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

• $300 is earned after working 4 hours

Mathematical Equivalence

ON

Is the graph proportional?

• yes

• no

The graph shows the number of miles a car has driven over time.

What does the point (1, 50) mean in the context of the situation?

• For every hour the car can travel 50 miles.

• For every mile the car can travel for 50 miles.

• The start of the graph.