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 does it mean for a graph to be proportional?

Back

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

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you find the constant of proportionality in a proportional relationship?

Back

The constant of proportionality (k) can be found by dividing one quantity by the other (k = y/x) for any pair of corresponding values.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you determine if a set of points on a graph represents a proportional relationship?

Back

You can determine if a set of points represents a proportional relationship by checking if the points form a straight line that passes through the origin.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where the second quantity is one unit, allowing for easy comparison of ratios.

Front

How do you solve for an unknown in a proportional relationship?

Back

To solve for an unknown in a proportional relationship, set up a proportion and cross-multiply to find the missing value.

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.