Exploring the Constant of Proportionality

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

• The difference between any two corresponding quantities

• The ratio of any two corresponding quantities

• The sum of any two corresponding quantities

• The product of any two corresponding quantities

Tags

CCSS.7.RP.A.2B

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

• By adding the x and y values

• By dividing the y value by the x value

• By multiplying the x and y values

• By subtracting the y value from the x value

Tags

CCSS.7.RP.A.2B

What was the constant of proportionality in the drill team fundraiser example?

• $1.25 per chocolate bar

• $1.00 per chocolate bar

• $0.75 per chocolate bar

• $0.50 per chocolate bar

Tags

CCSS.7.RP.A.2B

What does a constant of proportionality of 75 cents in the chocolate bar example signify?

• The first chocolate bar costs 75 cents

• Every three chocolate bars cost 75 cents

• Each chocolate bar increases the total cost by 75 cents

• The total cost of chocolate bars is 75 cents

Tags

CCSS.7.RP.A.2B

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

• By dividing the y-coordinate by the x-coordinate of any point

• By finding the slope of the line

• By subtracting the x-coordinate from the y-coordinate

• By adding the coordinates of any point

Tags

CCSS.7.RP.A.2B

What does a constant of proportionality of 3 in the soda and sugar graph indicate?

• Each soda bottle contains 3 grams of sugar

• Each gram of sugar is found in 3 ounces of soda

• Each ounce of soda contains 3 grams of sugar

• Each ounce of soda contains 3 ounces of sugar

Tags

CCSS.7.RP.A.2B

In the barn owl example, what does the constant of proportionality tell us?

• The owl flies 15 meters every second

• The owl flies 105 meters every second

• The owl flies 15 meters in 7 seconds

• The owl can fly 525 meters in 35 seconds

Tags

CCSS.7.RP.A.2B

How can you use the constant of proportionality to find the distance the barn owl can travel in 35 seconds?

• By subtracting 35 from the constant of proportionality

• By multiplying 35 by the constant of proportionality

• By dividing 35 by the constant of proportionality

• By adding 35 to the constant of proportionality

Tags

CCSS.7.RP.A.2B

Which representation had a constant of proportionality of 2.5?

• The barn owl's flight

• Jackie's apple purchase

• The soda and sugar graph

• The drill team fundraiser

Tags

CCSS.7.RP.A.2B

What is the purpose of setting up a proportion in these examples?

• To compare different constants of proportionality

• To find the total cost or quantity in a given scenario

• To determine the difference between two quantities

• To calculate the average rate of change

Tags

CCSS.7.RP.A.2C