Understanding Constant of Proportionality

The video tutorial covers the concept of proportional relationships using various examples, such as streaming subscriptions and friendship bracelets. It explains how to calculate the constant of proportionality, graph points, and write equations to represent relationships. The tutorial also includes an analysis of a graph showing the relationship between almonds and oats, and discusses the proportionality of knots in friendship bracelets.

What is the constant of proportionality for a streaming subscription that costs $47.94 for 6 months?

• $9.99

• $8.99

• $7.99

• $6.99

What does the constant of proportionality indicate in the context of a streaming service?

• The total cost for a year

• The monthly cost of the service

• The total number of months

• The initial setup fee

If the constant of proportionality is $7.99, what is the cost for 4 months?

• $32.96

• $33.96

• $31.96

• $34.96

Which equation represents the relationship between the total cost (C) and the number of months (M) for a subscription?

• C = 7.99 + M

• C = 7.99M

• C = M/7.99

• C = M - 7.99

In the almonds and oats example, what is the constant of proportionality?

• 20

• 15

• 25

• 30

What does the constant of proportionality represent in the almonds and oats example?

• The number of oats per almond

• The number of almonds per cup of oats

• The total weight of the mix

• The price per cup of oats

How many grams of almonds are there in 3 cups of oats if the constant of proportionality is 25?

• 75 grams

• 50 grams

• 125 grams

• 100 grams

In the friendship bracelet example, what is necessary to determine the proportional relationship?

• The constant of proportionality

• The type of knots used

• The number of colors used

• The length of each string

If each row of a friendship bracelet has 8 knots, how many knots are there in 5 rows?

• 60 knots

• 50 knots

• 40 knots

• 30 knots

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

• The initial value

• The constant of proportionality

• The type of graph used

• The total number of items