Unit 3 Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of two proportional quantities. For example, if y = kx, then k is the constant of proportionality.

Front

Is the relationship between the variables in this table proportional?

Back

To determine if a relationship is proportional, check if the ratio of y to x is constant. If it is not constant, the relationship is not proportional.

Front

What is a unit rate?

Back

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

Front

How do you determine the unit rate from a table?

Back

To find the unit rate, divide the total amount of one quantity by the total amount of the other quantity.

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 does NOT represent a proportional relationship?

Back

An equation that includes a constant term not multiplied by x, such as y = 5x - 7, does not represent a proportional relationship.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality (k).

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.