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

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

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

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

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

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

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

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

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

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