Proportional Relationships, Graphs and Coordinates

The graph shows the cost of oranges per bag. What is the cost of 4 bags of oranges?

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Samir believes this graph is proportional and that the C.O.P is 3. Do you agree with the Samir. Explain why or why not.

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The graph below shows the total distance, in miles, traveled by a towboat over time, in hours. Which statement BESTS described the meaning of the coordinates of point F on the graph.

• It shows the unit rate of the graph in hours per mile.

• It shows the unit rate of the graph in miles per hour.

• It shows the time, in hours, it takes the towboat to travel 1 mile

• It shows the distance traveled, in miles, by the towboat after 5.25 hours.

What makes a graph proportional?

• Linear (straight line)

• A straight line (linear) that goes through the origin

• Curvy line

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

The constant of proportionality of this graph is k = 45. What does it mean?

• The boat travels for 45 miles for every 45 hours

• The boat travels 1 mile for every 45 hours

• The boat travels 45 miles for every 1 hour

• The boat travels 1/45 mile for every 1 hour

What value should be added to the blank spot on the table?

If the constant is 1.25 what is the equation of the line. (y=kx)

Is this table proportional?

• Yes

• No

Determine the missing value in the table.