Graphing 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 is constant.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the constant ratio between two proportional quantities.

Front

If a table shows the cost of items based on quantity, how do you find the constant of proportionality?

Back

Divide the total cost by the number of items to find the constant of proportionality.

Front

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

Back

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

Front

How do you calculate the slope from two points on a graph?

Back

Slope = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a slope of 7/5 indicate?

Back

It indicates that for every 5 units increase in x, y increases by 7 units.

Front

What is the significance of a constant rate of change?

Back

A constant rate of change indicates that the relationship between the two variables is linear and proportional.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio between two quantities changes, such as a table showing varying costs for different quantities.

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.