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 identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of the corresponding values are the same for all pairs.

Front

What does the constant of proportionality represent?

Back

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

Front

How do you determine the constant of proportionality from a graph?

Back

The constant of proportionality can be determined from a graph by finding the slope of the line, which represents the ratio of the change in the y-values to the change in the x-values.

Front

What is the significance of the origin in a proportional graph?

Back

In a proportional graph, the line must pass through the origin (0,0) to indicate that the relationship is proportional.

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 of the other quantity.

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the relationship between the two quantities does not maintain a constant ratio and does not pass through the origin.

Front

How can you find the rate of change from a table of values?

Back

The rate of change can be found by calculating the difference in the y-values divided by the difference in the x-values for two points.

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.