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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2D

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.

Tags

CCSS.7.RP.A.2C

Front

What is an example of a proportional equation?

Back

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

Tags

CCSS.7.RP.A.2C