Proportional Relationships and Equations

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 as y = kx.

Front

How can you identify a proportional relationship from a table?

Back

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

Front

What does the equation y = kx represent?

Back

This equation represents a direct variation where y is directly proportional to x with k as the constant of proportionality.

Front

Which of the following equations is proportional: y = 3x or y = 3x + 2?

Back

y = 3x is proportional; y = 3x + 2 is not proportional because it has a constant added.

Front

If k = 5, what is the equation of the proportional relationship?

Back

The equation is y = 5x.

Front

What is the graphical representation of a proportional relationship?

Back

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

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents k.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

If y = 10 when x = 2, what is the constant of proportionality?

Back

k = y/x = 10/2 = 5.