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

How can you identify a proportional relationship in 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 constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented by 'k'.

Front

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

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity and check if the result is constant.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for one unit of another quantity in a proportional relationship.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (3 in this case).

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the quantities are not constant.

Front

How can you determine if a graph is not proportional?

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does the point (3, 15) represent in a proportional relationship?

Back

It represents that for every 3 units of x, there are 15 units of y, indicating a constant ratio.