Flashcard on Proportional Relationships Greally/Roy

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 non-proportional graph?

Back

A non-proportional graph does not pass through the origin (0,0) and does not maintain a constant ratio between the x and y values.

Front

What is the unit rate?

Back

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

Front

How do you calculate the unit rate from a ratio?

Back

To calculate the unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

Front

If y = 14x, what does 14 represent?

Back

In the equation y = 14x, 14 represents the constant of proportionality, indicating that for every unit increase in x, y increases by 14.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values (y/x) are constant across the table.

Front

What does it mean if a graph is linear but not proportional?

Back

A linear graph that is not proportional has a constant slope but does not pass through the origin, indicating a non-zero y-intercept.

Front

How do you write an equation from a word problem involving proportional relationships?

Back

Identify the quantities involved, determine the constant of proportionality, and express the relationship in the form y = kx.