Representing 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 do you determine if a relationship is proportional from a table?

Back

A relationship is proportional if the ratios of corresponding values are equal.

Front

What does it mean if a graph is linear but not proportional?

Back

A linear graph that is not proportional has a constant rate of change but does not pass through the origin.

Front

If Samantha drives at 30 mph and Tracy drives at 60 miles every 2 hours, who drives faster?

Back

They drive the same speed per hour.

Front

How do you calculate the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

What is the unit rate if Evan bought 5 pounds of bananas for $10?

Back

$2 per pound.

Front

What is the definition of a constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin.

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if one quantity increases, the other quantity increases at a constant rate.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.