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

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

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

Back

For every hour, the car can travel 50 miles.

Front

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

Back

In 5 hours, a car can drive 250 miles.

Front

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

Back

10 gallons of gas costs $30.

Front

What does the point (0, 0) mean in the context of a graph showing the cost of cookies?

Back

When 0 cookies are purchased, $0 are spent.

Front

What is the slope of a line in a graph of a proportional relationship?

Back

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

Front

If a graph shows a straight line that does not pass through the origin, is it a proportional relationship?

Back

No, it is not a proportional relationship.

Front

What does a steep slope indicate in a graph of a proportional relationship?

Back

A steep slope indicates a higher rate of change between the two quantities.

Front

What does a flat slope indicate in a graph of a proportional relationship?

Back

A flat slope indicates a lower rate of change between the two quantities.