Proportional Relationships and Problem Solving

The video tutorial covers lesson 2-6 on proportional relationships, focusing on identifying and solving problems using proportionality. It explains how to determine if a relationship is proportional using equations and graphs, and provides examples involving age differences, flower orders, and collectible cards. The tutorial concludes with instructions for IXL practice, emphasizing the importance of understanding the constant of proportionality and using the y = kx form.

What is the main objective of the lesson on proportional relationships?

• To learn about different types of graphs

• To determine if a relationship is proportional and solve related problems

• To understand the history of mathematics

• To explore non-proportional relationships

Which of the following is a way to identify a proportional relationship?

• Identifying a non-linear graph

• Finding a variable exponent

• Looking for a quadratic equation

• Checking if the graph is a straight line through the origin

In the example of Martin and Cassandra, what is the age difference between them?

• Three years

• Five years

• Two years

• Four years

Why is the relationship between Martin and Cassandra's ages not proportional?

• Because their ages are equal

• Because they have the same birthday

• Because the ratio of their ages is not constant

• Because they are twins

In the florist example, what is the constant of proportionality for the flowers?

• 0.07

• 0.14

• 0.21

• 0.28

How can the florist adjust the order to avoid leftover flowers?

• Order fewer red flowers

• Order more red flowers

• Order fewer white flowers

• Order more white flowers

In the collectible cards example, what is the initial ratio of DeShawn's cards to Stephanie's cards?

• 3 to 2

• 4 to 3

• 5 to 2

• 6 to 1

What happens to the ratio of cards when both DeShawn and Stephanie sell half of their cards?

• The ratio remains proportional

• The ratio becomes non-proportional

• The ratio becomes 1 to 1

• The ratio becomes 2 to 1

In the scenario with Norma and her dad, what is the relationship between tokens and pitches?

• Non-proportional

• Proportional

• Unrelated

• Inverse

How many pitches does the machine throw if Norma uses two tokens?

• 39

• 26

• 13

• 52