Equations to Represent Proportional Relationships

The video tutorial explains the relationship between dollars and nickels, highlighting that $1 equals 20 nickels. It introduces the concept of proportional relationships, where the number of nickels is proportional to the dollars. The tutorial demonstrates how to determine the constant of proportionality using an ordered pair and formulates the equation y = kx. It further applies this equation to calculate the number of nickels in $100, reinforcing the concept of proportional relationships.

What does the graph of the relationship between dollars and nickels look like?

• A vertical line

• A horizontal line

• A curved line

• A straight line through the origin

How do you calculate the constant of proportionality?

• By subtracting x from y

• By multiplying x and y

• By dividing y by x

• By adding x and y

What is the equation form for a proportional relationship?

• y = x/k

• y = x + k

• y = k - x

• y = kx

If the constant of proportionality is 20, what is the equation for the relationship?

• y = x - 20

• y = 20 + x

• y = 20x

• y = x/20

How many nickels are equivalent to $100?

• 1,000 nickels

• 2,000 nickels

• 1,500 nickels

• 2,500 nickels