Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

The constant ratio in a proportional relationship, often represented as 'k'.

Front

How do you find the unit rate?

Back

Divide the quantity by the number of units to find the rate per one unit.

Front

If a car travels 80 miles in 2 hours, what is the unit rate?

Back

40 miles per hour.

Front

What does a linear graph represent?

Back

A linear graph represents a constant rate of change.

Front

What is the difference between linear and non-linear relationships?

Back

Linear relationships have a constant rate of change, while non-linear relationships do not.

Front

How can you tell if a graph is proportional?

Back

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

Front

If Miguel saves $15 per month, how much will he save in 6 months?

Back

$90.

Front

What is the unit rate if a runner completes 30 laps in 10 minutes?

Back

3 laps per minute.

Front

What does it mean if a graph is not proportional?

Back

It means the relationship does not maintain a constant ratio and does not pass through the origin.