Identifying 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 is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities in the equation y = kx.

Front

What equation represents a proportional relationship?

Back

y = kx

Front

How do you find the constant of proportionality from a table?

Back

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

Front

What does it mean if a graph represents a proportional relationship?

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

Front

What is the ratio used to determine proportional relationships?

Back

The ratio used to determine proportional relationships is y/x.

Front

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

Back

The constant of proportionality is k = 4.

Front

Which of the following equations is NOT proportional: y = 2x + 3 or y = 2x?

Back

y = 2x + 3 is NOT proportional because it does not pass through the origin.

Front

What is the graphical representation of a proportional relationship?

Back

A proportional relationship is represented by a straight line through the origin on a graph.

Front

If the constant of proportionality is k = 1/2, what is the equation?

Back

The equation is y = (1/2)x.