Proportional Relationships in Tables, Graphs, and Equations

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 quantity is constant.

Front

How can you determine 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 does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity and check if the ratio is constant.

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

How do you calculate the unit rate from a given scenario?

Back

To calculate the unit rate, divide the total quantity by the number of units, e.g., miles per hour.

Front

What is the significance of the unit rate in proportional relationships?

Back

The unit rate helps to identify the constant of proportionality and allows for comparisons between different proportional relationships.

Front

What does it mean if two rates are not equal?

Back

If two rates are not equal, it indicates that the relationships are not proportional.

Front

How can you compare rates from different scenarios?

Back

To compare rates from different scenarios, calculate the unit rates for each scenario and compare the values.