Proportional vs NonProportional Relationships Explained

The video tutorial covers the differences between proportional and nonproportional relationships, focusing on graphs, tables, and equations. It explains how proportional graphs pass through the origin, while nonproportional graphs have a y-intercept. The tutorial also discusses how to calculate slopes and interpret tables for both types of relationships. Additionally, it covers equations and word problems, highlighting the presence of multiplicative and additive components in nonproportional scenarios.

What is a key characteristic of a proportional graph?

• It has a negative slope.

• It goes through the origin.

• It has a positive slope.

• It starts at a point other than the origin.

How do you find the slope of a proportional graph?

• By finding the sum of x and y.

• By finding the change in y over the change in x.

• By finding the y-intercept.

• By finding the x-intercept.

What is the y-intercept in a nonproportional graph?

• The point where the line crosses the y-axis.

• The slope of the line.

• The point where the line crosses the x-axis.

• The origin.

What is the main difference between proportional and nonproportional graphs?

• Nonproportional graphs have a negative slope.

• Proportional graphs have a positive slope.

• Proportional graphs go through the origin, nonproportional graphs do not.

• Nonproportional graphs go through the origin, proportional graphs do not.

In a proportional table, what is the value of y when x is 0?

• It is always 4.

• It is always 1.

• It is always 0.

• It is always 2.

How do you identify a nonproportional relationship in a table?

• The values of y are always the same.

• The values of x are always the same.

• The table goes through the origin.

• The table does not go through the origin.

What is the equation form of a proportional relationship?

• y = x + b

• y = b

• y = mx

• y = mx + b

In the equation y = 0.25x - 6, what does -6 represent?

• The x-intercept

• The y-intercept

• The origin

• The slope

In a word problem, what does the term 'each' usually indicate?

• A multiplicative value

• An additive value

• A variable value

• A constant value

In a nonproportional word problem, what does a one-time fee represent?

• A multiplicative value

• A variable value

• An additive value

• A constant value