Proportionality in Tables and Graphs

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant.

Front

What is a unit rate?

Back

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

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

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

Back

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

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

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What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of the corresponding values are not constant or if the graph does not pass through the origin.

Front

How do you determine if a set of values is proportional?

Back

To determine if a set of values is proportional, check if the ratios of the values are equal.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the speed of a car, where distance traveled is proportional to time taken at a constant speed.