Functions or Not a Function and Direct Variation and Proportionality

Why does this graph show a non-proportional relationship?

• It doesn't, it is proportional because it is a straight line
• It goes through the origin
• It does not go through the origin
• It is a straight line

Does this graph represent a proportional relationship?  

• No, because it doesn't pass through the origin.
• Yes, because it is linear (striaght).
• Yes, because it intersects the y axis.
• No, because it intersects the x axis.

 Is this table proportional or non-proportional?

• Proportional because the y to x ratio is a constant of proportionality. 
• Non-Proportional because the y to x ratio is not a constant of proportionality. 
• Proportional because the x to y ratio is a constant of proportionality. 
• Non-Proportional because the x to y ratio is not a constant of proportionality. 

Is the graph proportional or non proportional?

• Proportional because it is a straight line and passes through the origin (0,0).
• Non-Proportional because it doesn't pass through the origin (0,0).

Which statement best describes the relationship of x and y in the table?

• Proportional
• Not Proportional

What are the main characteristics of a proportional relationship between two variables?

• They pass through the origin.
• They are linear (straight line) and also pass through the origin.
• They are curved
• The x to y ratio is a constant of proportionality.

Is the following equation a proportional relationship?
y = 4x + 0

• Yes
• No

Is the following equation a proportional relationship?
y = x

• No
• Yes

Mama Mia’s Pizza sells medium pizza for $7 each and charges a $2 delivery fee per order. Which describes this relationship?

• a non-proportional function with a y-intercept of 2
• a non-proportional function with a y-intercept of 7
• a proportional function with a y-intercept of 2
• a proportional function with a y-intercept of 7 

Is this table proportional?

• Yes
• No