Understanding Additive and Proportional Relationships

This video tutorial covers functions, focusing on additive and proportional relationships. It explains how additive relationships involve adding or subtracting from the input, while proportional relationships involve multiplying or dividing the input. The video provides examples and demonstrates how to identify these relationships in tables, offering strategies to determine the rules governing the input-output relationships. The tutorial concludes with practice examples to reinforce understanding.

What are the two types of relationships discussed in the video?

• Proportional and Linear

• Additive and Exponential

• Linear and Quadratic

• Additive and Proportional

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In an additive relationship, what operation is performed on the input?

• Multiplication or Division

• Addition or Subtraction

• Exponentiation

• Logarithm

Tags

CCSS.8.EE.B.5

If the equation is y = x + 5, what type of relationship is it?

• Proportional

• Additive

• Exponential

• Quadratic

Tags

CCSS.7.RP.A.2D

In a proportional relationship, what operation is performed on the input?

• Logarithm

• Exponentiation

• Multiplication or Division

• Addition or Subtraction

Tags

CCSS.7.RP.A.2D

If the equation is y = 5x, what type of relationship is it?

• Proportional

• Additive

• Exponential

• Quadratic

Tags

CCSS.5.OA.B.3

When identifying an additive relationship in a table, what should be consistent?

• The sum of y and x

• The product of y and x

• The ratio of y to x

• The difference between y and x

Tags

CCSS.7.RP.A.2A

When identifying a proportional relationship in a table, what should be consistent?

• The ratio of y to x

• The difference between y and x

• The product of y and x

• The sum of y and x

Tags

CCSS.7.RP.A.2B

In the table, if y = 4x, what type of relationship is it?

• Exponential

• Proportional

• Quadratic

• Additive

Tags

CCSS.5.OA.B.3

If the table shows y = x - 7, what type of relationship is it?

• Additive

• Exponential

• Proportional

• Quadratic

Tags

CCSS.7.RP.A.2B

In the table, if y = 1/2x, what type of relationship is it?

• Quadratic

• Exponential

• Proportional

• Additive

Tags

CCSS.7.RP.A.2B