Understanding Constant of Proportionality

The video tutorial introduces the concept of the constant of proportionality, explaining it as an intuitive idea despite its technical name. Through examples, such as the relationship between eggs and milk in baking, the video demonstrates how to identify and understand proportional relationships. It further explores abstract examples, using variables to illustrate the concept, and concludes with a general formula for proportionality.

What is the constant of proportionality in the muffin example where the number of cups of milk is twice the number of eggs?

• 4

• 1

• 2

• 3

If you have 3 eggs, how many cups of milk do you need according to the muffin example?

• 3

• 4

• 5

• 6

In the muffin example, if the number of eggs is multiplied by a million, what happens to the cups of milk?

• They double

• They are halved

• They are multiplied by a million

• They remain the same

What is the constant of proportionality if a = 5b?

• 1

• 3

• 5

• 10

In the equation y = pi * x, what is the constant of proportionality?

• pi

• 1

• y

• x

For the equation y = 1/2 * x, identify the constant of proportionality.

• 1

• x

• 1/2

• 2

Which of the following represents a general formula for proportionality?

• y = k - x

• y = x + k

• y = kx

• y = x/k

In the formula y = kx, what does 'k' represent?

• The sum

• The difference

• The constant of proportionality

• The variable

If y = 3x, what is the constant of proportionality?

• 3

• 4

• 2

• 1

In the context of proportionality, what does it mean if y is directly proportional to x?

• y increases as x decreases

• y is constant regardless of x

• y changes at a constant rate with x

• y decreases as x increases