Proportional Relationships/Direct Variation

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 equation for direct variation?

Back

The equation for direct variation is of the form y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between the two quantities in a proportional relationship.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the graphical representation of a proportional relationship?

Back

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

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line when plotted on a coordinate plane.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line must pass through the origin (0,0) to indicate that when one quantity is zero, the other is also zero.

Front

How do you write the direct variation equation if k = 3?

Back

If k = 3, the direct variation equation is y = 3x.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality (k).