12.7 Graphing Proportional Relationship

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 on a graph?

Back

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

Front

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

Back

The slope represents the unit rate or the constant of proportionality between the two quantities.

Front

If a bus travels at a speed represented by the equation y = 35x, what does '35' represent?

Back

The '35' represents the speed of the bus in miles per hour.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity to find the unit rate.

Front

What is the unit rate if Will spent $3.75 for 3 pounds of granola?

Back

$1.25 per pound.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the price per ounce if a 30 oz. jar of mayonnaise costs $2.99?

Back

$0.10 per ounce.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship.

Front

Can a relationship be proportional if it intersects the y-axis?

Back

No, a relationship cannot be proportional if it does not pass through the origin.