Lesson 3.6: Proportional and Non-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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you identify a proportional relationship from an equation?

Back

If the equation can be written in the form y = kx (where k is a constant), it represents a proportional relationship.

Front

What does the equation y = 3.75x + 2 represent?

Back

It represents a non-proportional relationship because of the constant term (+2).

Front

What is the slope in the equation y = 19.25x?

Back

The slope is 19.25, which indicates the rate of change of y with respect to x.

Front

If y = 40x + 75, what does 40 represent?

Back

40 represents the rate of pay per hour in this context.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, indicating the starting point of the relationship.

Front

How do you determine if a graph represents a proportional relationship?

Back

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

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is a constant.

Front

What does it mean if an equation has a constant term?

Back

If an equation has a constant term, it indicates a non-proportional relationship.