Proportional Relationships Equations (HW #12)

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 is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

Write the equation for a proportional relationship with a constant of proportionality of 3.

Back

y = 3x.

Front

What does it mean if a graph is a straight line through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

Identify the equation that represents a proportional relationship: y = 2x or y = x + 4.

Back

y = 2x.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

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

Back

The constant of proportionality is 4.

Front

Which of the following equations is non-proportional: y = 3x, y = 3x + 2?

Back

y = 3x + 2.

Front

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

Back

If the ratio of y to x is constant for all points, it represents a proportional relationship.

Front

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

Back

The slope represents the constant of proportionality.