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'.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

If y = kx, what does 'k' represent?

Back

In the equation y = kx, 'k' represents the constant of proportionality.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is the formula to calculate the constant of proportionality?

Back

The formula to calculate the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.

Front

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

Back

The constant of proportionality is 2/3.

Front

What happens to the constant of proportionality if both quantities are multiplied by the same number?

Back

The constant of proportionality remains the same if both quantities are multiplied by the same number.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

The car will travel 180 miles in 3 hours.