Concept Review - Honors

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x, indicating how y changes with respect to x.

Front

How can 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 an example of a non-proportional equation?

Back

An example of a non-proportional equation is y = 2x - 3, as it does not pass through the origin.

Front

How do you express a proportional relationship using an equation?

Back

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

Front

What is the first step to find the constant of proportionality from a table of values?

Back

The first step is to identify the ratio of y to x for each pair of values in the table.

Front

What does it mean if a relationship is described as proportional?

Back

It means that the two quantities increase or decrease at the same rate, maintaining a constant ratio.

Front

How do you find the difference between two amounts?

Back

To find the difference, subtract the smaller number from the larger number.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when x is zero, y is also zero, which is a key characteristic of proportional relationships.

Front

Can a proportional relationship have a y-intercept other than zero?

Back

No, a proportional relationship cannot have a y-intercept other than zero; if it does, it is non-proportional.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line through the origin.