Exploring Proportional Relationships Through Graphs, Equations, and Tables

The video tutorial explains proportional relationships, where one variable is directly related to another. It introduces the concept of unit rate, defined as the amount of one variable per unit of another, and demonstrates how to calculate it using graphs and formulas. The tutorial generalizes proportional relationships with the equation y = KX, where K is the constant of proportionality. It further interprets this equation in words, illustrating how changes in one variable affect the other.

What is a proportional relationship?

• When one variable is unrelated to another

• When one variable is directly related to another

• When one variable is exponentially related to another

• When one variable is inversely related to another

What is the unit rate in a proportional relationship?

• The difference between X and Y

• The total amount of X and Y

• The amount of Y per one of X

• The amount of X per one of Y

How can the unit rate be determined from a graph?

• By finding the slope of the line

• By finding the midpoint of the line

• By finding the Y-intercept

• By finding the X-intercept

What is the formula used to determine the unit rate?

• X divided by Y

• Y multiplied by X

• Y divided by X

• X plus Y

What does the equation y = kx represent in a proportional relationship?

• Y is inversely proportional to X

• Y is directly proportional to X

• Y is unrelated to X

• Y is exponentially proportional to X

What does the constant k represent in the equation y = kx?

• The Y-intercept

• The slope of the line

• The X-intercept

• The constant of proportionality

How can the equation y = 2x be interpreted in words?

• Y is equal to X

• Y is double X

• Y is half of X

• Y is unrelated to X

If the constant of proportionality is 2, what happens to Y as X changes?

• Y will always be equal to X

• Y will always be double the value of X

• Y will always be unrelated to X

• Y will always be half of X