The video tutorial explains the concept of proportional relationships and the constant of proportionality. It begins by introducing the idea of proportionality between variables y and x, and then defines the constant of proportionality as the number that multiplies x to yield y. The tutorial uses a table to demonstrate how to calculate this constant, showing that when x is 1, y is 3, and when x is 2, y is 6, leading to a constant of 3. Finally, it verifies the relationship by deriving the equation y = 3x, confirming that 3 is the constant of proportionality.

What does a proportional relationship between two variables imply?

• One variable is always the square of the other.

• The variables increase at different rates.

• There is a constant rate of change between the variables.

• The variables are unrelated.

Tags

CCSS.7.RP.A.2D

What is the constant of proportionality?

• The difference between two variables.

• A variable that changes over time.

• The sum of two variables.

• A constant number that is multiplied by one variable to get the other.

Tags

CCSS.7.RP.A.2B

What happens to y when x is 0 in a proportional relationship?

• y becomes 10

• y becomes 1

• y is undefined

• y also becomes 0

Tags

CCSS.7.RP.A.2D

How can the constant of proportionality be determined from a table?

• By subtracting the y values from the x values.

• By multiplying the x values.

• By dividing y by x for any pair of values.

• By adding the x and y values.

Tags

CCSS.7.RP.A.2B

If x is 2 and y is 6, what is the constant of proportionality?

• 2

• 3

• 4

• 6

Tags

CCSS.7.RP.A.2B

In a proportional relationship, if x is doubled, what happens to y?

• y is quadrupled

• y is doubled

• y remains the same

• y is halved

Tags

CCSS.7.RP.A.2D

What is the purpose of creating a table when finding the constant of proportionality?

• To visualize the relationship between x and y

• To add all the values of x and y

• To find the sum of x and y

• To divide x by y

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality in the equation y = 3x?

• 0

• y

• x

• 3

Tags

CCSS.7.RP.A.2B

Which equation represents a proportional relationship with a constant of proportionality of 4?

• y = 4x

• y = x + 4

• y = x/4

• y = x - 4

Tags

CCSS.7.RP.A.2C