Proportional Relationships -- Tables, Equations, and Graphs

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 it mean for a table to be proportional?

Back

A table is proportional if the ratios of the values in the table are constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How can you determine if a table represents a proportional relationship?

Back

Check if the ratios of the values are constant across the table.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, because the ratios (2:4, 3:6, 4:8) are all equal to 1:2.

Front

What does it mean if a table is not proportional?

Back

It means that the ratios of the values are not constant.

Front

If 5 pounds of apples cost $10, how much do 15 pounds cost?

Back

$30 (because the cost is proportional: $10/5 = $2 per pound).

Front

What is the equation of a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Front

How do you find the unit rate from a proportional relationship?

Back

Divide the total amount by the number of units.