Constant of Proportionality Concepts

The video tutorial by Miss De Litter explains how to write equations representing proportional relationships. It begins with an introduction to the concept, followed by examples using red and blue paint, money earned and hours worked, and servings and cups of popcorn. The constant of proportionality is identified in each example, and equations are formed to represent these relationships.

What is the constant of proportionality in the paint mixing example?

• 3

• 2

• 5

• 4

How do you determine the constant of proportionality from a table?

• By multiplying the values in the X column by a constant to get the Y column

• By dividing the values in the Y column by the X column

• By adding the values in the columns

• By subtracting the values in the X column from the Y column

What does the constant of proportionality represent in a proportional relationship?

• The difference between X and Y

• The product of X and Y

• The ratio of Y to X

• The sum of X and Y

What is the general form of an equation representing a proportional relationship?

• Y = X + K

• Y = X - K

• Y = KX

• Y = K + X

Which of the following is NOT a characteristic of a proportional relationship?

• The equation is in the form Y = KX

• The graph is a curve

• The ratio of Y to X is constant

• The graph is a straight line through the origin

In the money earned example, what is the constant of proportionality?

• 5

• 6

• 7

• 8

How is the equation for money earned related to hours worked?

• Money earned is equal to 7 divided by hours worked

• Money earned is equal to hours worked minus 7

• Money earned is equal to 7 times the hours worked

• Money earned is equal to hours worked plus 7

In the popcorn example, what is the constant of proportionality?

• 1/5

• 1/4

• 1/3

• 1/2

What variables are used in the popcorn example equation?

• M and N

• C and S

• X and Y

• A and B

How do you find the number of servings from cups of popcorn?

• Add 1/4 to the cups

• Multiply the cups by 1/4

• Divide the cups by 4

• Multiply the cups by 4