Proportionality Graphs, Tables, 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 quantity is constant.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the quantity of interest, resulting in a rate per one unit of that quantity.

Front

What is the constant of proportionality in an equation of the form y = kx?

Back

The constant of proportionality (k) is the coefficient of x in the equation, representing the ratio of y to x.

Front

What does the equation y = 14x represent in terms of proportionality?

Back

It represents a proportional relationship where for every 1 unit increase in x, y increases by 14 units.

Front

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

Back

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

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand how one quantity changes in relation to another, allowing for predictions and calculations.

Front

What is the unit rate of 3/4 cup of brown sugar for every 3 eggs?

Back

The unit rate is 4 eggs per cup.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

In a proportional relationship, the ratio is constant, while in a non-proportional relationship, the ratio varies.

Front

How do you write an equation for a proportional relationship?

Back

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

Front

What is an example of a proportional equation?

Back

An example of a proportional equation is y = 7x.