11.08 Multiple Representations of Proportional Relationships

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

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant ratio in a proportional relationship, often represented as y = kx.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does a linear graph represent?

Back

A linear graph represents a relationship where the change between the variables is constant.

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the ratio between the two quantities is not constant.

Front

How can you determine if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of the values in the table are constant.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the total quantity by the number of units, expressed as quantity per unit.

Front

If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

Back

The unit rate is 30 miles per gallon.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that as one quantity increases, the other quantity increases at a constant rate.

Front

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

Back

An example is the cost of apples: if 1 apple costs $1, then 3 apples cost $3, maintaining a constant ratio.