Graphing Proportional Relationships

What is a proportional relationship?

• a system for locating points in two dimensions that uses a horizontal axis and a vertical axis.

• a relationship between two quantities, in which the ratio of the input to output is always the same.

• a rate that compares a quantity to exactly one unit of another quantity.

• the value of the ratio between two quantities that are in a proportional relationship.

What makes up a coordinate plane? (pick 3)

• x-axis

• y-axis

• origin (0,0)

• backpack

Select 2 points listed that you see on this graph.

• (1,5)

• (5,200)

• (7,35)

• (9,32)

When determining if a graph is proportional, what is one important requirement that the graph needs to meet to be considered proportional?

• The graph can start anywhere

• The graph HAS to start at the origin (0,0)

• The graph needs to be in a zig zag form

Is the following graph a proportional relationship?

• Yes, because it goes in a straight line.

• No, because it does not start at the origin.

Is the following graph a proportional relationship?

• Yes, because it goes in a straight line & starts at the origin.

• No, because it does not start at the origin.

What is the constant of proportionality of this graph?

• $15 per month

• $30 per 2 months

• $30 per month

• $60 per 4 months.

Select the one coordinate pair that is listed for this graph.

• (1,2)

• (2,1)

• (4,19)

• Toes

What is the constant of proportionality of this graph?

• (1,3.5)

• There is no constant of proportionality because it does not start at the origin

• (2,4)

• (10,8)

How did your weekend go?