Explore Unit Rates and Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratio of the two quantities is constant across all pairs of values in the table.

Front

What does the point (x, y) represent in a graph of a proportional relationship?

Back

In a graph of a proportional relationship, the point (x, y) represents the quantity y for every x units of the first quantity.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio of the two quantities in a proportional relationship.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing corresponding values.

Front

What does the slope of a line in a graph of a proportional relationship indicate?

Back

The slope of the line indicates the constant of proportionality, showing how much one quantity changes in relation to another.

Front

If a windmill rotates 12 times in 1 minute, what is the unit rate of rotations per minute?

Back

The unit rate is 12 rotations per minute.

Front

How do you create an equation from a proportional relationship?

Back

To create an equation from a proportional relationship, identify the constant of proportionality and use the form y = kx.

Front

What does the point (60, y) mean in a distance-time graph?

Back

The point (60, y) means the car travels y miles per hour.