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

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if a job pays $56 for 8 hours, the unit rate is $56 ÷ 8 = $7 per hour.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where 'k' is the constant of proportionality.

Front

Which equation shows a proportional relationship?

Back

y = 5x shows a proportional relationship because it can be expressed as a constant ratio.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

Identify a non-proportional equation: y = x + 3 or y = 2x.

Back

y = x + 3 is a non-proportional equation because it does not pass through the origin.

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 fraction with a denominator of one.

Front

How can you tell if a table of values represents a proportional relationship?

Back

A table of values represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the formula to find the constant of proportionality from a proportional relationship?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.