Proportional Tables and Graphs

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

How do you identify a proportional graph?

Back

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

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 of another quantity.

Front

If 3 hours of work earns $20.40, how do you find the unit rate?

Back

Divide the total earnings by the number of hours: $20.40 ÷ 3 hours = $6.80 per hour.

Front

What does the coordinate (4,4) represent in a graph?

Back

The coordinate (4,4) represents a point where the x-value is 4 and the y-value is also 4.

Front

What is the equation of a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of y to x in a proportional relationship, often represented as 'k'.

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratios of corresponding values (y/x) are constant, the table represents a proportional relationship.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the x and y values.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero in a proportional relationship.