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 constant of proportionality?

Back

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

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin (0,0) on a graph.

Front

What does it mean for a graph to be linear?

Back

A linear graph is a graph that forms a straight line, indicating a constant rate of change between the variables.

Front

What is the equation for direct variation?

Back

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

Front

If Loretta paid $10.72 for 8 cans of cat food, what is the cost per can?

Back

The cost per can is $10.72 / 8 = $1.34.

Front

If the cost for 8 cans is $10.72, what is the cost for 12 cans?

Back

The cost for 12 cans is $1.34 * 12 = $16.08.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a graph that has a y-intercept other than zero.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero.