Interpreting Graphs of Proportional Relationships

Front

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

Back

10 gallons of gas costs $30.

Front

Is the number of gallons bought proportional to the cost in a gas price graph?

Back

Yes, it is a proportional relationship.

Front

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

Back

For every hour, the car can travel 50 miles.

Front

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

Back

When 0 cookies are purchased, $0 are spent.

Front

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

Back

In 5 hours, a car can drive 250 miles.

Front

What is a proportional relationship?

Back

A relationship where two quantities increase or decrease at the same rate.

Front

How can you identify a proportional relationship on a graph?

Back

The graph will be 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 constant rate of change between the two quantities.

Front

What is the formula for finding the slope of a line?

Back

Slope = (change in y) / (change in x).

Front

What does the y-intercept represent in a graph of a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0.