Non-Proportional Relationships and Functions

The video tutorial explores non-proportional relationships, focusing on linear equations in the form y = mx + b. It explains the difference between proportional and non-proportional relationships, highlighting the role of the y-intercept. Through examples like movie ticket purchases, fair parking, and a German Shepherd's growth, the video illustrates how these relationships work, emphasizing the additive nature of non-proportional relationships compared to multiplicative proportional ones.

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 always pass through the origin.

• They include an additive constant in their equation.

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

• The y-intercept

• The rate of change

• The slope

• The constant of proportionality

In Jessica's movie ticket example, what is the service fee?

• $12

• $3

• $21

• $9

Why is the relationship in Jessica's example non-proportional?

• Because the cost per ticket is constant

• Because the ratio of Y over X is constant

• Because there is a service fee

• Because it passes through the origin

What is the initial cost in Cheryl's parking and ride example?

• $14

• $12

• $10

• $2

How does the cost change with each ride in Cheryl's example?

• It increases by $2

• It remains the same

• It decreases by $2

• It increases by $10

What is the starting weight of the German Shepherd at birth?

• 3 pounds

• 2 pounds

• 9 pounds

• 5 pounds

How much weight does the German Shepherd gain each week?

• 1 pound

• 2 pounds

• 3 pounds

• 4 pounds