Proportional Relationships

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 quantity is constant.

Front

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

Back

The constant of proportionality can be determined by finding the slope of the line on the graph, which represents the ratio of the change in the dependent variable to the change in the independent variable.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of the corresponding values are constant, meaning that the unit rate is the same for all pairs of values.

Front

How can you tell if a graph is proportional?

Back

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

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It represents the amount of one quantity per one unit of another quantity.

Front

What is the equation of a proportional relationship?

Back

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

Front

If Sherry can buy 4 pounds of oranges for $18, how do you find the cost per pound?

Back

To find the cost per pound, divide the total cost by the number of pounds: $18 / 4 pounds = $4.50 per pound.

Front

What does it mean for a relationship to be non-proportional?

Back

A relationship is non-proportional if the ratios of the quantities are not constant, meaning the unit rate changes.

Front

How do you find the constant of proportionality from a word problem?

Back

To find the constant of proportionality from a word problem, identify the quantities involved, determine their ratio, and simplify it to find the constant.

Front

What is the significance of the origin in determining proportionality on a graph?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point; if it does not, the relationship is non-proportional.