Constant of Proportionality

Front

What is the definition of a constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Front

What is the equation of a proportional relationship?

Back

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

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 do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

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

Back

An example of a proportional relationship is the cost of apples per pound, where the cost increases linearly with the weight.

Front

What is the significance of the slope in a proportional graph?

Back

In a proportional graph, the slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship cannot be proportional if it does not pass through the origin, as proportional relationships must have a constant ratio.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

The constant of proportionality is equal to the slope of the line in a graph representing a proportional relationship.

Front

How do you write an equation from a proportional relationship given a constant of proportionality?

Back

To write an equation from a proportional relationship, use the form y = kx, substituting k with the constant of proportionality.