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

What is the constant of proportionality?

Back

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

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 2/3, meaning for every 2 cups of flour, there are 3 cups of sugar.

Front

What is the equation of a line that represents a proportional relationship?

Back

The equation of a line that represents a proportional relationship is in the form y = kx, where k is the constant of proportionality.

Front

If a car travels 120 miles in 2 hours, what is the speed in miles per hour?

Back

The speed is 60 miles per hour, which is the unit rate.