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 is constant.

Front

What does the constant of proportionality (k) represent in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

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

Back

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

Front

What is the unit rate?

Back

The unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Front

Which equation represents a proportional relationship?

Back

y = 3x represents a proportional relationship because it can be expressed in the form y = kx.

Front

What is the formula to find the constant of proportionality from a proportional relationship?

Back

The constant of proportionality can be found using the formula k = y/x.

Front

If you travel 240 miles on 8 gallons of gas, what is the unit rate in miles per gallon?

Back

The unit rate is 30 miles per gallon.

Front

What does it mean if an equation has a y-intercept other than zero?

Back

If an equation has a y-intercept other than zero, it does not represent a proportional relationship.

Front

How do you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if the line does not pass through the origin.

Front

What is the relationship between proportional relationships and direct variation?

Back

Proportional relationships are a type of direct variation where one variable is a constant multiple of another.