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 between two quantities where the ratio is not constant, often involving a fixed starting value.

Front

Write an equation for a proportional relationship where y increases by 19.25 for every increase of 1 in x.

Back

y = 19.25x

Front

Describe the graph of a proportional relationship.

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

Describe the graph of a non-proportional relationship.

Back

The graph of a non-proportional relationship is a straight line that does not pass through the origin.

Front

What does it mean if a table of values is proportional?

Back

If a table of values is proportional, the ratios of corresponding values are constant.

Front

What does it mean if a table of values is non-proportional?

Back

If a table of values is non-proportional, the ratios of corresponding values are not constant.

Front

Write an equation for a fitness club that starts with 80 members and gains 15 members each month.

Back

y = 15x + 80

Front

Identify a characteristic of proportional relationships in equations.

Back

In proportional relationships, the equation can be written in the form y = kx, where k is a constant.

Front

Identify a characteristic of non-proportional relationships in equations.

Back

In non-proportional relationships, the equation often includes a constant term added to or subtracted from the variable term.