Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

How do you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

Write the equation for a proportional relationship with a constant of proportionality of 3.

Back

y = 3x

Front

If y = 4x, what is the constant of proportionality?

Back

4

Front

Does the equation y = 2x + 3 represent a proportional relationship?

Back

No, because it includes a constant term (3) that does not allow for a constant ratio.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates a proportional relationship between the two variables.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

60 miles per hour.

Front

Which of the following represents a proportional relationship: y = 5x or y = 5x + 2?

Back

y = 5x represents a proportional relationship.