Exploring Proportional Relationships

The video tutorial explains how to represent proportional relationships using the equation y = kx, where k is the constant of proportionality. It demonstrates how to find k by dividing y by x, using examples from a table, a graph, and a description. The tutorial covers calculating k from a table of photo prints, a graph of coffee orders, and a description of swimming distance over time.

What equation represents a proportional relationship?

• y = k/x

• y = x + k

• y = kx

• y = x^2

Tags

CCSS.7.RP.A.2C

What does 'k' stand for in the equation y = kx?

• Product of x and y

• Sum of x and y

• Variable

• Constant of proportionality

Tags

CCSS.7.RP.A.2C

What does the constant of proportionality represent in a real-world context?

• The difference between two quantities

• The sum of two quantities

• The ratio between two directly proportional quantities

• The product of two quantities

Tags

CCSS.7.RP.A.2B

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

• Add y to x

• Divide y by x

• Multiply y by x

• Subtract y from x

Tags

CCSS.7.RP.A.2B

What is the constant of proportionality if y = 1.5 when x = 10?

• 10

• 1.5

• 15

• 0.15

Tags

CCSS.7.RP.A.2B

How can you represent a proportional relationship using a graph?

• By plotting y = x^2

• By plotting y = k/x

• By plotting y = kx

• By plotting y = x + k

Tags

CCSS.7.RP.A.2D

If Darnell made 30 coffee orders in 2 hours, what is the value of k?

• 15 orders per hour

• 60 orders per hour

• 30 orders per hour

• 2 orders per hour

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If a proportional equation is represented by y = 15x, what does 15 represent?

• The variable x

• The sum of y and x

• The difference between y and x

• The constant of proportionality

Tags

CCSS.7.RP.A.2C

What equation represents Emily swimming 350 meters in 7 minutes?

• y = 50x

• y = 7x

• y = 350x

• y = x/50

Tags

CCSS.6.EE.C.9

How do you determine the constant of proportionality in a descriptive scenario?

• By adding distance to time

• By subtracting time from distance

• By multiplying distance and time

• By dividing distance by time

Tags

CCSS.7.RP.A.2B