Proportional Relationships in Tables, Graphs, and Equations

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 the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities, often expressed in the equation y = kx.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What is the formula for a proportional relationship?

Back

y = kx

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

How can you determine if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

If y = 3x, what is the constant of proportionality?

Back

k = 3

Front

What does it mean if a table has a constant difference between values?

Back

If a table has a constant difference, it indicates a linear relationship, but not necessarily a proportional one.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, choose two points on the line, and divide the y-value by the x-value.