Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' 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 identify a proportional relationship in a table?

Back

In a table, a proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If y = 40 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 40.

Front

Which of the following represents a proportional relationship: (2,4), (3,6), (4,8)?

Back

All pairs represent a proportional relationship because the ratio y/x is constant (2).

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) signifies that when the independent variable is zero, the dependent variable is also zero, indicating a direct relationship.

Front

How do you determine if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, which does not pass through the origin.