Understanding the Constant of Proportionality

The video tutorial explains how to find the constant of proportionality from a table. It demonstrates using division to calculate the constant and applies it to real-world examples, such as the cost of dozens of eggs. The tutorial also highlights common mistakes students make, like incorrect division, and explains how to check if the constant is correct by observing if values increase or decrease. Additionally, it discusses the relationship between scale factor and proportionality.

What is the constant of proportionality?

• A constant that only applies to non-proportional relationships

• A variable that does not affect the relationship

• A fixed value that changes with different variables

• A number that relates two variables in a proportional relationship

How can you find the constant of proportionality from a table?

• By subtracting one variable from the other

• By dividing one variable by the other

• By multiplying the values of the variables

• By adding the values of the variables

In the example of dozens of eggs and cost, what does the constant of proportionality represent?

• The total cost of all eggs

• The cost per dozen of eggs

• The number of eggs in a dozen

• The total number of dozens

What is the formula to find the constant of proportionality in any table?

• X divided by Y

• Y divided by X

• X multiplied by Y

• Y multiplied by X

What is a common mistake students make when finding the constant of proportionality?

• Using addition instead of division

• Using incorrect division

• Using multiplication instead of division

• Using subtraction instead of division

If the values in a table are increasing, what should the constant of proportionality be?

• Negative

• Larger than one

• Smaller than one

• Equal to one

How can you check if you have found the correct constant of proportionality?

• By checking if the constant is negative

• By ensuring the constant is always one

• By checking the direction of change in table values

• By ensuring the constant is always zero