Identifying Non-Proportional Linear Relationships

What is a key characteristic of non-proportional relationships?

• They have a constant ratio of Y over X.

• They can be represented by the equation y = kx.

• They do not have a constant ratio of Y over X.

• They always pass through the origin.

In the equation y = mx + b, what does 'm' represent?

• The constant of proportionality

• The rate of change

• The dependent variable

• The y-intercept

What does 'b' represent in the equation y = mx + b?

• The y-intercept

• The constant of proportionality

• The rate of change

• The independent variable

In the example of Jessica buying movie tickets, what is the equation representing the total cost?

• y = 3 + 9x

• y = 9 + 3x

• y = 9x + 3

• y = 3x + 9

Why does the table for Jessica's movie ticket costs not contain the point (0,0)?

• Because there is a service fee of three dollars

• Because the service fee is zero

• Because the ticket cost is zero

• Because the ratio of Y over X is constant

Why does the graph of a non-proportional relationship not pass through the origin?

• Because the ratio of Y over X is constant

• Because the y-intercept is zero

• Because the x-intercept is zero

• Because there is an additive constant

In the example of Cheryl paying for parking and rides, what is the equation representing the total cost?

• y = 2 + 10x

• y = 10 + 2x

• y = 2x + 10

• y = 10x + 2

What makes Cheryl's parking and ride cost example non-proportional?

• The cost is additive

• The ratio of Y over X is constant

• The cost is multiplicative

• There is no y-intercept

In the German Shepherd example, what is the rate of change in the equation y = 2x + 3?

• 3 pounds per week

• 5 pounds per week

• 1 pound per week

• 2 pounds per week

Why is the German Shepherd's weight gain example considered non-proportional?

• Because the weight gain is multiplicative

• Because the weight gain is additive

• Because the y-intercept is zero

• Because the ratio of Y over X is constant