Proportional Relationships and 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 identify the constant of proportionality from a table of values?

Back

To identify the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values. The result should be the same for all pairs.

Front

What is the equation format for a proportional relationship?

Back

The equation format for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

How can 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).

Front

What does the slope of a line represent in a proportional relationship?

Back

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

Front

If the constant of proportionality is 7, what is the equation of the proportional relationship?

Back

The equation of the proportional relationship is y = 7x.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate determined by the constant of proportionality.

Front

How do you convert a proportional relationship into a ratio?

Back

To convert a proportional relationship into a ratio, express the constant of proportionality as a fraction of y to x, which simplifies to k/y = 1/x.