Proportionally Relationships with 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 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 in the equation y = kx.

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 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 y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

Front

How can you write an equation from a proportional relationship?

Back

To write an equation from a proportional relationship, identify the constant of proportionality and use the form y = kx.

Front

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

Back

In a proportional relationship graph, the slope represents the constant of proportionality (k).

Front

If the equation is y = 3x, what does this tell you about the relationship between y and x?

Back

This tells you that for every 1 unit increase in x, y increases by 3 units.

Front

What happens if the constant of proportionality is zero?

Back

If the constant of proportionality is zero, it means that y does not change regardless of the value of x; the relationship is not proportional.

Front

How do you determine if a relationship is proportional from a graph?

Back

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