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

What does it mean for a graph to be proportional?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you determine if a relationship is proportional from a graph?

Back

If the graph is a straight line that passes through the origin, the relationship is proportional.

Front

What does the point (1, 49) represent in a proportional relationship graph?

Back

It represents that at 1 hour, the distance from home is 49 miles.

Front

How do you find the unit rate from a given rate?

Back

To find the unit rate, divide the total quantity by the number of units to express it as a quantity per one unit.

Front

What is the unit rate if you run a 5k (3.1 miles) in 28 minutes?

Back

The unit rate is 9 minutes per mile.

Front

What is the formula for a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

If Melanie buys 2 seashells for $0.80, what is the cost per seashell?

Back

The cost per seashell is $0.40.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.