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 by 'k' in the equation y = kx.

Front

How do you find the unit rate in a proportional relationship?

Back

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

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where y is directly proportional to x.

Front

What is the significance of the point (0,0) in a proportional graph?

Back

It indicates that when the independent variable is zero, the dependent variable is also zero, confirming the relationship is proportional.

Front

How can you determine if a graph represents a proportional relationship?

Back

The graph must be a straight line that passes through the origin (0,0).

Front

If a machine packs boxes at a rate of 2/3 a box every 1/2 minute, how many boxes does it pack in one minute?

Back

4/3 boxes.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

What is the unit rate for 120 miles in 2 hours?

Back

60 miles per hour.

Front

What does a straight line on a graph indicate in terms of proportional relationships?

Back

It indicates a constant rate of change between the two variables.