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 does it mean if the rates of change are constant?

Back

If the rates of change are constant, it means that the relationship between the two quantities does not change, and they increase or decrease at the same rate.

Front

What does it mean if the rates of change are variable?

Back

If the rates of change are variable, it means that the relationship between the two quantities changes, and they do not increase or decrease at the same rate.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is a constant.

Front

What is a non-proportional relationship?

Back

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

Front

Which of the following equations represents a proportional relationship: y = 3x or y = x + 2?

Back

y = 3x represents a proportional relationship.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, and in a proportional relationship, the y-intercept is always 0.

Front

How can you tell if a table of values represents a proportional relationship?

Back

A table of values represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the slope in a proportional relationship?

Back

The slope in a proportional relationship is the constant ratio of the change in y to the change in x.