Proportional Relationships in tables, graphs, 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 can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are the same for all pairs.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a table?

Back

To calculate the unit rate from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the quantities are not constant, indicating that the relationship between the quantities varies.

Front

How do you determine 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 for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

How can you use equations to represent proportional relationships?

Back

Proportional relationships can be represented by equations of the form y = kx, where k is the constant of proportionality.

Front

What is an example of a real-world proportional relationship?

Back

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