Understanding Constant of Proportionality

The video tutorial covers interpreting graphs of proportional relationships through various examples. It starts with a streaming service example to explain cost per month, followed by a granola mix example to illustrate the relationship between almonds and oats. The tutorial then explores the concept of proportionality in making friendship bracelets, focusing on knots per row. Finally, it provides guidance on writing equations for proportional relationships, emphasizing the importance of the constant of proportionality.

What is the constant of proportionality in the streaming service example?

• $6.99

• $8.99

• $7.99

• $5.99

How do you calculate the total cost for a given number of months in the streaming service example?

• Subtract $7.99 from the number of months

• Divide the number of months by $7.99

• Add $7.99 to the number of months

• Multiply the number of months by $7.99

In the granola mix example, what is the constant of proportionality?

• 20 grams per cup

• 25 grams per cup

• 30 grams per cup

• 15 grams per cup

How many grams of almonds are needed for 2 cups of oats in the granola mix example?

• 70 grams

• 60 grams

• 50 grams

• 40 grams

What is the constant of proportionality in the friendship bracelet example?

• 3 knots per row

• 5 knots per row

• 6 knots per row

• 4 knots per row

If you have 12 rows in the friendship bracelet example, how many total knots will there be?

• 50 knots

• 60 knots

• 80 knots

• 70 knots

What equation form is used to represent proportional relationships?

• y = mx + b

• y = kx

• y = x/k

• y = x + k

What information is necessary to write an equation for a proportional relationship?

• The slope of the line

• The midpoint of the line

• The y-intercept

• The constant of proportionality

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

• By finding the slope of the line

• By identifying the y-intercept

• By calculating the area under the line

• By dividing y by x for a given point

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

• The unit rate

• The total sum

• The rate of change

• The average value