Constant Rate of Change vs Proportionality Explained

The video tutorial covers linear relationships, focusing on constant rate of change and constant of proportionality. It explains how to identify these constants in equations and graphs, and how to calculate them. The tutorial also distinguishes between linear relationships that are proportional and those that are not, using examples and calculations to illustrate these concepts.

What are the two main concepts discussed in the video related to linear relationships?

• Constant rate of change and constant of proportionality

• Slope and y-intercept

• Quadratic equations and linear equations

• Exponential growth and decay

What does a constant rate of change indicate in a graph?

• The graph has a variable slope

• The graph passes through the origin

• The graph is a curve

• The graph is a straight line

What is a key characteristic of a graph with a constant of proportionality?

• It has a constant y-intercept

• It forms a curve

• It passes through the origin

• It has a variable rate of change

How can you identify the constant rate of change in an equation?

• By looking at the y-intercept

• By looking at the exponent

• By looking at the constant term

• By looking at the coefficient of x

Which of the following equations represents a proportional relationship?

• y = x + 4

• y = 5x - 1

• y = 3x

• y = 2x + 3

What is the constant rate of change in the equation y = 4x + 2?

• 6

• 2

• 0

• 4

How do you calculate the constant rate of change from a graph?

• By finding the change in y-values divided by the change in x-values

• By finding the area under the curve

• By finding the y-intercept

• By finding the slope of the tangent line

What is the constant of proportionality in the equation y = 0.5x?

• 0

• 0.5

• 1

• 2

If a graph passes through the points (1, 2) and (2, 4), what is the constant rate of change?

• 1

• 2

• 3

• 4

What is the constant of proportionality if a graph passes through the points (2, 100) and (4, 200)?

• 100

• 75

• 50

• 25