Finding the Constant of Proportionality in Tables

The video tutorial explains how to find a constant in a function table using the formula K = y/x. It demonstrates this with examples, showing when a relationship is proportional and when it is not. The key takeaway is that a constant must be the same throughout the table for the relationship to be proportional.

What is the main goal when finding a constant from a function table?

• To find the largest number in the table

• To identify a repeating number in each relationship

• To find the smallest number in the table

• To identify the sum of all numbers in the table

What does the letter 'K' represent in the formula K = y / x?

• The input value

• The output value

• The constant

• The variable

In the formula K = y / x, what do 'y' and 'x' represent?

• y is the output and x is the input

• Both y and x are outputs

• y is the input and x is the output

• Both y and x are inputs

What is the constant (K) in the first example where y = 6, 9, 12, 18 and x = 2, 3, 4, 6?

• 4

• 3

• 6

• 2

What does it mean if the constant (K) is the same in all relationships?

• The relationship is proportional

• The relationship is not proportional

• The relationship is exponential

• The relationship is linear

In the second example, what is the constant (K) for the pairs (12, 6) and (14, 7)?

• 3

• 1

• 2

• 4

What happens if one of the relationships does not have the same constant (K) as the others?

• The relationship is linear

• The relationship is not proportional

• The relationship is still proportional

• The relationship is exponential

What is the simplified form of 18/8 in the second example?

• 2.25

• 2.5

• 2.75

• 3

What should you do if you find a different constant (K) in one of the relationships?

• Continue checking the rest of the relationships

• Stop and conclude that the relationship is not proportional

• Recalculate the previous constants

• Ignore the different constant

What is the key takeaway about constants in function tables?

• A constant can vary slightly in proportional relationships

• A constant is not necessary for proportionality

• A constant must be the same in all relationships for proportionality

• A constant must be different in each relationship