Proportional Relationships Using 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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How can you identify a proportional relationship using a table?

Back

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

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

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 do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

Which of the following equations represents a proportional relationship: y = 3x or y = 2x + 5?

Back

y = 3x represents a proportional relationship; y = 2x + 5 does not.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope of the line in a proportional relationship graph represents the constant of proportionality.

Front

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

Back

Yes, the table is proportional because the ratios (y/x) are constant (3).