Determining Proportional Relationships in Tables and Graphs

Mr. Tipton explains proportionality, focusing on identifying proportional relationships in graphs and tables. Proportional graphs show a constant rate of change with a straight line, while non-proportional graphs have curves. In tables, proportionality is determined if all X values are multiplied or divided by the same number to get Y values. Examples are provided to illustrate these concepts, and the lesson concludes with a discussion on real-world applications.

What is the main topic discussed in the video?

• Calculus

• Geometry

• Proportionality

• Algebra

What characteristic does a graph with a proportional relationship have?

• Curved line

• Dotted line

• Straight line

• No line

What does a non-proportional graph look like?

• It has a straight line

• It has a curved line

• It has no line

• It has a dotted line

How can you tell if data in a table is proportional?

• If all X's are squared to get Y's

• If all X's are multiplied or divided by the same number to get Y's

• If all X's are subtracted by the same number to get Y's

• If all X's are added by the same number to get Y's

In the example with X's as 2, 4, 5, 6, and 9, why is the table not proportional?

• Because 2 multiplied by 4 is not 8

• Because 5 multiplied by 4 is not 19

• Because 6 multiplied by 4 is not 24

• Because 4 multiplied by 4 is not 16

What operation is done to -50 to get 10 in the second example?

• Add 60

• Multiply by -5

• Subtract 40

• Divide by -5

In the second example, what is the result of dividing 35 by -5?

• -7

• 7

• 5

• -5

What is the result of multiplying -6 by 6 in the third example?

• -6

• 0

• -36

• 36

In the third example, what is the result of multiplying -3 by 6?

• -18

• 18

• -3

• 0

What does a straight line on a graph indicate about the relationship between X and Y?

• It is inconsistent

• It is undefined

• It is proportional

• It is non-proportional