Proportional Graphs

Front

What is a proportional graph?

Back

A proportional graph is a graph that shows a constant ratio between two variables, meaning that as one variable increases, the other variable increases at a consistent rate.

Front

How can you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph can be identified if the line passes through the origin (0,0) and is straight.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not show a constant ratio between the two variables, meaning the relationship between them changes.

Front

What is the constant ratio in a proportional relationship?

Back

The constant ratio in a proportional relationship is the same value obtained when one variable is divided by the other (y/x).

Front

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

Back

To determine if a table represents a proportional relationship, check if the ratio of y to x is constant for all pairs of values.

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

If the cost for 3 hours is $27, what is the cost per hour?

Back

The cost per hour is $9, calculated by dividing the total cost by the number of hours (27/3).

Front

What does it mean to divide y by x in a proportional relationship?

Back

Dividing y by x in a proportional relationship helps to find the constant of proportionality, which should remain the same for all pairs of values.

Front

Can a graph that does not pass through the origin be proportional?

Back

No, a graph that does not pass through the origin cannot be proportional, as proportional relationships must start from (0,0).

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.