Proportional vs Nonproportional Relationships in Math

The video tutorial explains proportional relationships in tables, graphs, and equations. It covers how to identify proportional relationships by checking if ratios are consistent in tables, if graphs are straight lines passing through the origin, and if equations are in the form y = kx without additional constants. Examples are provided to illustrate these concepts.

What is the first step in identifying a proportional relationship in a table?

• Check if the values of X are increasing

• Calculate the ratio of Y to X for each pair

• Ensure all Y values are even

• Verify that X values are multiples of 2

If the ratios of Y to X in a table are 3, 2, 1.3, and 1.375, what can be concluded?

• The table needs more values

• The ratios are incorrect

• The relationship is non-proportional

• The relationship is proportional

In a proportional relationship, what should the ratio of Y to X be across all pairs?

• Increasing gradually

• Decreasing gradually

• Different for each pair

• The same for all pairs

What is a key feature of a proportional relationship when plotted on a graph?

• The graph is a horizontal line

• The graph forms a curve

• The graph forms a straight line

• The graph has multiple peaks

Which point must a proportional graph pass through?

• (1,1)

• (1,0)

• (2,2)

• (0,0)

What does a constant rate in a proportional graph indicate?

• The graph has varying slopes

• The graph has a constant slope

• The graph is non-linear

• The graph is horizontal

Which of the following equations represents a proportional relationship?

• Y = X + 1

• Y = 5X

• Y = 3X - 2

• Y = 2X + 3

What makes an equation non-proportional?

• Having a coefficient

• Having a constant term

• Having a variable term

• Having a negative coefficient

How can you find the unit rate from a graph?

• Look at the X-intercept

• Look at the Y-intercept

• Find the Y value when X is 1

• Check the slope of the line

If the ratios in a table are 10, 10, 10, and 10.25, what can be concluded?

• The ratios are incorrect

• The relationship is non-proportional

• The relationship is proportional

• The table needs more values