Review Proportional Relationships Tables, Graphs & Equaitons

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 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

What does a proportional graph look like?

Back

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

Front

How can you determine if a table represents a proportional relationship?

Back

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

Front

What is the equation of a proportional relationship if the constant of proportionality is 4?

Back

The equation is y = 4x.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero in a proportional relationship.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, choose two points on the line, calculate the ratio of y to x for those points, and ensure it is constant.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.