Proportional Tables and Equations Challenge

The video tutorial explains how to identify proportional relationships in tables and equations. It introduces the concept of the constant of proportionality, represented by the letter K, and demonstrates how to calculate it by dividing Y values by X values. The tutorial provides two examples: one showing a proportional relationship with a consistent K value and another illustrating a non-proportional relationship where the K value is inconsistent. The video concludes with a method to write equations for proportional relationships.

What is the first step in analyzing a table for proportional relationships?

• Multiplying all values by 2

• Finding the constant of proportionality

• Finding the sum of all values

• Subtracting X values from Y values

What letter is used to represent the constant of proportionality?

• R

• P

• C

• K

How do you find the constant of proportionality (K) from a table?

• By adding all X values

• By multiplying X values by Y values

• By dividing Y values by X values

• By subtracting Y values from X values

In Example 1, what is the K value for the table?

• 3

• 2

• 1

• 4

What equation represents a proportional relationship?

• y = K * X

• y = K / X

• y = K - X

• y = K + X

What is the equation for the proportional relationship in Example 1?

• y = 2 - X

• y = 2 * X

• y = 2 / X

• y = 2 + X

In Example 2, what is the first fraction used to find the K value?

• 9/3

• 12/4

• 7/2

• 3/1

What is the K value for the fraction 7/2 in Example 2?

• 2.5

• 3

• 3.5

• 4

Why is the table in Example 2 not proportional?

• Because all K values are equal

• Because the table has negative values

• Because one K value is different

• Because all K values are different

What is the final step in determining if a table is proportional?

• Subtracting X values from Y values

• Checking if all K values are equal

• Adding all Y values

• Multiplying all values by 2