Proportions Preview

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc; if ad = bc, then a/b = c/d is a proportion.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is linear and passes through the origin (0,0).

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and can be calculated as rise over run.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of y to x in a proportional relationship, represented by k.

Front

How can you identify a proportional graph from a set of graphs?

Back

A proportional graph will be a straight line that passes through the origin.

Front

What is an example of a real-world situation that can be modeled with proportions?

Back

An example is calculating the cost of items based on their price per unit.

Front

What is the relationship between ratios and proportions?

Back

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