Exploring Proportional Relationships and Constants

What is another name for the constant of proportionality?

• Unit rate

• Variable rate

• Proportional rate

• Fixed rate

What is the significance of the constant of proportionality in a proportional relationship?

• It indicates the relationship is not proportional

• It represents the slope of the graph

• It is always zero

• It changes based on the values of x and y

How do you find the constant of proportionality in a table?

• By adding all the y-values

• By dividing y by x for each ordered pair

• By subtracting x from y

• By multiplying x and y values

If a table's ordered pairs do not have the same unit rate, what does it indicate?

• None of the above

• The relationship is not proportional

• There is a constant of proportionality

• The relationship is still proportional

What indicates a proportional relationship in a graph?

• A curved line

• A line that passes through the origin

• A line that does not touch any axis

• A vertical line

In a graph, if the line does not pass through the origin, what can be inferred?

• The graph is inconclusive

• The graph represents a proportional relationship

• The graph does not represent a proportional relationship

• The constant of proportionality is 1

What is the constant of proportionality in the equation y = 4.5x?

• y

• x

• 4.5

• 0

What does the 'k' represent in the equation y = kx?

• A variable

• The slope

• The constant of proportionality

• The y-intercept

How can you determine if a relationship is proportional using an equation?

• By finding the sum of x and y

• By checking if the equation is in the form y = kx

• By checking if k is zero

• By dividing x by y

What does it mean if an equation has a constant of proportionality of -31?

• The x-values are negative

• The equation is invalid

• The relationship is proportional

• The relationship is not proportional