Interpreting Graphs of Proportional Relationships

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

What does the point (0, 0) represent on a graph of a proportional relationship?

Back

The point (0, 0) represents that when zero of the independent variable is used, the dependent variable is also zero.

Front

How can you determine if two quantities are proportional from a graph?

Back

Two quantities are proportional if the graph is a straight line that passes through the origin (0, 0).

Front

What does the slope of a line in a proportional relationship represent?

Back

The slope represents the constant rate of change between the two quantities.

Front

If a graph shows that 4 gallons of gas cost $12, what is the cost per gallon?

Back

The cost per gallon is $3.

Front

What does the point (1, 50) mean in the context of a graph showing miles driven over time?

Back

It means that in 1 hour, the car can travel 50 miles.

Front

What does the point (10, 30) mean in the context of a graph showing the cost of gas?

Back

It means that 10 gallons of gas costs $30.

Front

What is the formula for finding the unit rate in a proportional relationship?

Back

The unit rate can be found by dividing the dependent variable by the independent variable.

Front

How can you tell if a relationship is not proportional from a graph?

Back

If the graph is not a straight line or does not pass through the origin, the relationship is not proportional.

Front

What does the point (5, 250) mean in the context of a graph showing miles driven over time?

Back

It means that in 5 hours, the car can drive 250 miles.