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 tell if a graph represents a proportional relationship?

Back

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

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the unit rate or the ratio of the two quantities in a proportional relationship.

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 is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

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

Back

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

Front

What is the unit rate for Dr. Morrison's driving on Saturday?

Back

The unit rate for Dr. Morrison's driving on Saturday is 68 miles per hour (340 miles / 5 hours).

Front

What is the unit rate for Dr. Morrison's driving on Sunday?

Back

The unit rate for Dr. Morrison's driving on Sunday is 66 miles per hour (198 miles / 3 hours).

Front

If the unit rate is not constant in a table, what can you conclude?

Back

If the unit rate is not constant in a table, you can conclude that the relationship is not proportional.