Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, defined as k = y/x.

Front

How can you identify a proportional relationship from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table.

Front

What is an example of a proportional equation?

Back

An example of a proportional equation is y = 3x, where the constant of proportionality is 3.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio of y to x is not constant, and the graph does not pass through the origin.

Front

How do you determine 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 significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand how one quantity changes in relation to another, which is essential in fields like physics, economics, and biology.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.

Front

How can you tell if an equation is not proportional?

Back

An equation is not proportional if it includes a constant term that does not multiply the variable, such as y = 2x + 1.

Front

What are some common misconceptions about proportional relationships?

Back

Common misconceptions include confusing proportional relationships with linear relationships that do not pass through the origin.

Front

What is the constant of proportionality for the equation y = 0.5x?

Back

The constant of proportionality is 0.5.