Denali Introduction to Proportional Relationships

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 quantity 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 do you find the constant of proportionality from a table of values?

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 does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x with k as the constant of proportionality.

Front

If the constant of proportionality is 1.5, what is the relationship between x and y?

Back

If the constant of proportionality is 1.5, then for every unit increase in x, y increases by 1.5 units.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin (0,0).

Front

How can you determine if a set of points represents a proportional relationship?

Back

A set of points represents a proportional relationship if they all lie on a straight line that passes through the origin.

Front

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

Back

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

Front

What happens to the graph of a proportional relationship if the constant of proportionality increases?

Back

If the constant of proportionality increases, the slope of the line representing the relationship becomes steeper.

Front

How do you solve for a missing value in a proportional relationship?

Back

To solve for a missing value in a proportional relationship, use the constant of proportionality to set up a proportion and solve for the unknown.