Additive Relationships in Cost Analysis

In this Math Matters episode, Miss Ogden introduces additive relationships, explaining how they differ from multiplicative relationships. The lesson involves using tables, pictures, and graphs to represent these relationships. A story problem about an amusement arcade is used to illustrate the concept, showing how the total cost is calculated by adding a fixed entrance fee to the cost per game. The lesson emphasizes recognizing patterns and relationships, solving problems, and graphing ordered pairs. The episode concludes with a preview of comparing additive and multiplicative relationships in future lessons.

What materials are needed for the lesson on additive relationships?

• Textbook

• Calculator

• Paper and pencil

• Laptop

What is the entrance fee at the amusement arcade?

• $3

• $5

• $7

• $10

How much does Lauren pay to play one game?

• $7

• $6

• $5

• $8

What is the cost for Lauren to play two games?

• $8

• $9

• $7

• $6

How can the scenario of Lauren at the arcade be represented?

• Using equations only

• Using a graph only

• Using a table only

• Using pictures and tables

In the picture representation, what does the blue box represent?

• Entrance fee

• Cost per game

• Total cost

• Discount

What do the purple boxes in the picture represent?

• Cost per game

• Total cost

• Discount

• Entrance fee

What pattern is observed in the cost of games?

• Cost remains constant

• Cost increases by $1

• Cost decreases by $1

• Cost doubles

What is the relationship called when the cost increases by the same amount each time?

• Additive relationship

• Multiplicative relationship

• Linear relationship

• Exponential relationship

How much would it cost Lauren to play 10 games?

• $10

• $25

• $20

• $15